HCF of 68 and 119

The HCF of 68 and 119 is 17. The HCF is the highest number, which divides the given numbers exactly. The factors of 68 are 1, 2, 4, 17, 34, 68, and the factors of 119 are 1, 7, 17, 119. We can find the HCF of 68 and 119 using prime factorisation, long division and listing common factors. Students can learn the steps used in the determination of HCF by using this article prepared by the subject experts at BYJU’S.

Also read: Highest common factor

What is the HCF of 68 and 119?

The answer to this question is 17. The various methods to find the HCF of 68 and 119 are given in this article. The HCF of 68 and 119 is 17, which divides both numbers exactly.

How to Find HCF of 68 and 119?

The methods used to find the HCF of 68 and 119 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 68 and 119 by Prime Factorisation Method

The prime factorisation of 68 and 119 is:

68 = 2 × 2 × 17

119 = 7 × 17

Common prime factors of 68 and 119 = 17

Therefore, HCF (68, 119) = 17

HCF of 68 and 119 by Long Division Method

To find the HCF, we have to divide (68, 119) by the prime factors. The HCF of 68 and 119 is the divisor we obtain when the remainder is zero.

No further division can be done.

Hence, HCF (68, 119) = 17

HCF of 68 and 119 by Listing Common Factors

The HCF of 68 and 119 by listing common factors is:

Factors of 68: 1, 2, 4, 17, 34, 68

Factors of 119: 1, 7, 17, 119

There are 2 common factors of 68 and 119, and they are 1 and 17.

Therefore, the highest common factor of 68 and 119 is 17.

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 68 and 119 Solved Example

Question: If the product of two numbers = 8092 and HCF = 17, find the LCM.

Solution:

Given

Product of two numbers = 8092

HCF = 17

HCF × LCM = Product of two numbers

17 × LCM = 8092

LCM = 8092/17

LCM = 476

Hence, the LCM is 476.