HCF of 25 and 36

The HCF of 25 and 36 is 1. We can divide the numbers 25 and 36 evenly by the HCF. The experts use simple language to explain these concepts in order to help students learn the concepts with ease. The factors of 25 are 1, 5, 25, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The HCF of 25 and 36 can be determined using prime factorisation, long division and listing common factors, as given in this article.

Also read: Highest common factor

What is the HCF of 25 and 36?

The answer to this question is 1. Various methods to find the HCF of 25 and 36 are given in a precise way in this article. The HCF of 25 and 36 is 1, which divides the given numbers.

How to Find HCF of 25 and 36?

The methods used to get the HCF of 25 and 36 are:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 25 and 36 by Prime Factorisation Method

The prime factorisation of 25 and 36 is:

25 = 5 × 5

36 = 2 × 2 × 3 × 3

There are no common prime factors.

There are no common prime factors of 25 and 36.

Hence, HCF (25, 36) = 1

HCF of 25 and 36 by Long Division Method

With the help of division, the numbers (25, 36) have to be divided using their factors to get the HCF. The HCF of 25 and 36 is the divisor we obtain when the remainder is zero after repeated division.

HCF of 25 and 36

No further division can be done.

Hence, HCF (25, 36) = 1

HCF of 25 and 36 by Listing Common Factors

The HCF of 25 and 36 by listing common factors is available here.

Factors of 25: 1, 5, 25

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There is only 1 common factor between 25 and 36, and it is 1.

Therefore, the highest common factor of 25 and 36 is 1.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 25 and 36 Solved Example

Question: If HCF = 1 and product of two numbers = 900, find the LCM.

Solution:

Given,

HCF = 1

Product = 900

We know that,

HCF × LCM = Product

LCM = Product/HCF

LCM = 900/1

LCM = 900

Hence, the LCM is 900.

Frequently Asked Questions on HCF of 25 and 36

Q1

What is the HCF of 25 and 36?

The HCF of 25 and 36 is 1.
Q2

Find the HCF of 25 and 36 using the long division method.

To find the HCF of 25 and 36 using the long division method, we have to divide 36 by 25, and the divisor we get with the remainder as zero is the HCF.
Q3

List the methods used to find HCF of 25 and 36.

The methods used to find the HCF of 25 and 36 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

In 10, 1, 20, 150, 125, 55, find the HCF of 25 and 36.

The number which divides 25 and 36, with the remainder zero, is the HCF value. The number 1 satisfies this condition.
Q5

What is the relation between HCF and LCM of 25 and 36?

The relation between HCF and LCM of 25 and 36 is:

HCF × LCM = 25 × 36

HCF × LCM = 900

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