What is the Greatest Common Factor of 36712 and 36732?

Greatest common factor (GCF) of 36712 and 36732 is 4.

GCF(36712,36732) = 4

We will now calculate the prime factors of 36712 and 36732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36712 and 36732.

How to find the GCF of 36712 and 36732?

We will first find the prime factorization of 36712 and 36732. After we will calculate the factors of 36712 and 36732 and find the biggest common factor number .

Step-1: Prime Factorization of 36712

Prime factors of 36712 are 2, 13, 353. Prime factorization of 36712 in exponential form is:

36712 = 2³ × 13¹ × 353¹

Step-2: Prime Factorization of 36732

Prime factors of 36732 are 2, 3, 3061. Prime factorization of 36732 in exponential form is:

36732 = 2² × 3¹ × 3061¹

Step-3: Factors of 36712

List of positive integer factors of 36712 that divides 36712 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 353, 706, 1412, 2824, 4589, 9178, 18356

Step-4: Factors of 36732

List of positive integer factors of 36732 that divides 36712 without a remainder.

1, 2, 3, 4, 6, 12, 3061, 6122, 9183, 12244, 18366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36712 and 36732. The biggest common factor number is the GCF number.
So the greatest common factor 36712 and 36732 is 4.

Also check out the Least Common Multiple of 36712 and 36732