HCF of 32 and 60

The HCF of 32 and 60 is 4. HCF of 32 and 60 is the biggest number that can divide those two numbers perfectly, leaving no residue. Factors of 32 and 60 are 1, 2, 4, 8, 16, 32 and 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, respectively. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 32 and 60.

Also read: Highest common factor

What is the HCF of 32 and 60?

The answer to this question is 4. This article shows the HCF of 32 and 60 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.

How to Find HCF of 32 and 60?

There are three methods to find the HCF of 32 and 60:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 32 and 60 by Prime Factorisation Method

The prime factorisation of 32 and 60 is given by:

Prime factorisation of 32 = (2 × 2 × 2 × 2 × 2)

Prime factorisation of 60 = (2 × 2 × 3 × 5)

Hence, the HCF of 32 and 60 is 2 × 2 = 4.

HCF (32, 60) = 4

HCF of 32 and 60 by Long Division Method

The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 32 and 60.

No further division can be done.

Hence, HCF (32, 60) = 4

HCF of 32 and 60 by Listing the Factors

To calculate the HCF of 32 and 60 by listing out the common factors, list the factors as shown below:

Factors of 32 = 1, 2, 4, 8, 16, 32

Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the HCF of 32 and 60 is 4.

Related Articles

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

Video Lesson on Properties of HCF and LCM

HCF of 32 and 60 Solved Example

For two numbers, HCF = 4 and LCM = 480. If one number is 32, find the other number.

Solution:

Given: HCF (x, 32) = 4 and LCM (x, 32) = 480

We have HCF × LCM = 32 × (z)

⇒ x = (HCF × LCM)/32

⇒ x = (4 × 480)/32

⇒ x = 60

Therefore, the other number is 60.