HCF of 14 and 35

The HCF of 14 and 35 is 7. The HCF divides 14 and 35 evenly, leaving the remainder equal to zero. The factors of 14 are 1, 2, 7, 14, and the factors of 35 are 1, 5, 7, 35. The methods we can use to find the HCF are prime factorisation, long division and listing common factors. In this article, the experts at BYJU’S with vast experience in the subject aim to make the concepts easier for the students, irrespective of their understanding level.

Also read: Highest common factor

What is the HCF of 14 and 35?

The answer to this question is 7. The methods to find the HCF of 14 and 35 are available here for the students’ reference. The HCF of 14 and 35 is 7, which divides the two given numbers equally.

How to Find HCF of 14 and 35?

The three methods to find HCF of 14 and 35 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 14 and 35 by Prime Factorisation Method

The prime factorisation of 14 and 35 is written as:

14 = 2 × 7

35 = 5 × 7

Common prime factor of 14 and 35 = 7

Therefore, HCF (14, 35) = 7

HCF of 14 and 35 by Long Division Method

The numbers (14, 35) divided by the prime factors will help you get the HCF. The divisor, when the remainder is zero, is the HCF of 14 and 35.

No further division can be done.

Hence, HCF (14, 35) = 7

HCF of 14 and 35 by Listing Common Factors

Here, you will learn how to list the common factors and find the HCF of 14 and 35:

Factors of 14: 1, 2, 7, 14

Factors of 35: 1, 5, 7, 35

There are 2 common factors of 14 and 35, and they are 1 and 7.

Therefore, the highest common factor of 14 and 35 is 7.

Related Articles

• Prime Factorisation Calculator
• Properties of HCF and LCM
• Prime Factorisation and Division Method for HCF and LCM
• Prime Factorisation
• GCD Calculator

Video Lesson on Properties of HCF and LCM

HCF of 14 and 35 Solved Example

Question: Find the HCF of 14 and 35 if the LCM is 70.

Solution:

Given

LCM = 70

LCM × HCF = 14 × 35

HCF = (14 × 35)/ 70

HCF = 7

Hence, the HCF is 7.