HCF of 15 and 35

The HCF of 15 and 35 is 5. The number which equally divides 15 and 35 is the HCF. The experts explain even the minute topic in the simplest way possible to improve the hold on the subject. The factors of 15 are 1, 3, 5, 15, and the factors of 35 are 1, 5, 7, 35. The HCF of 15 and 35 found with the help of prime factorisation, long division and listing common factors are given in this article.

Also read: Highest common factor

What is the HCF of 15 and 35?

The answer to this question is 5. The methods which can be used to find the HCF of 15 and 35 are discussed here. The HCF of 15 and 35 is 5, which divides the two given numbers.

How to Find HCF of 15 and 35?

The methods to get the value of HCF of 15 and 35 is:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 15 and 35 by Prime Factorisation Method

The prime factorisation of 15 and 35 is:

15 = 3 × 5

35 = 5 × 7

Common prime factors of 15 and 35 = 5

Hence, HCF (15, 35) = 5

HCF of 15 and 35 by Long Division Method

Using the long division method, the numbers (15, 35) divided by their factors will help you to get the HCF. The HCF of 15 and 35 is the divisor after repeated division with the remainder as zero.

No further division can be done.

Hence, HCF (15, 35) = 5

HCF of 15 and 35 by Listing Common Factors

The HCF of 15 and 35 by listing common factors is:

Factors of 15: 1, 3, 5, 15

Factors of 35: 1, 5, 7, 35

There are 2 common factors of 15 and 35, and they are 1 and 5.

Therefore, the highest common factor of 15 and 35 is 5.

Related Articles

• HCF of Two Numbers
• HCF and LCM
• Relation between HCF and LCM
• GCF calculator
• GCF

Video Lesson on Properties of HCF and LCM

HCF of 15 and 35 Solved Example

Question: If HCF = 5 and product of two numbers = 525, find the LCM.

Solution:

Given

HCF = 5

Product = 525

We know that

HCF × LCM = Product

LCM = Product/HCF

LCM = 525/5

LCM = 105

Hence, the LCM is 105.