SBP-Program

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Highest common factor of 2 and 12

How to find the highest common factor of 2 and 12?

Find the hcf of 2 and 12

Problem. Find the highest common factor of 2 and 12.

Solution.

2 is a prime number.

See Prime numbers 1 through 20.

The prime factorization of 12

12 = 2 * 2 * 3

See 12 prime factorization.

Find the common prime factors of 2 and 12

2 –> (2)
12 –> (2, 2, 3)

The common factors of 2 and 12 are

2

The hcf of 2 and 12 is 2

hcf(2, 12) = 2

The problem is solved.

Another solution.

12 is divisible by 2

12 ÷ 2 = 6

It means that 2 is the highest common factor of 2 and 12.