What is the Greatest Common Factor of 36712 and 36726?

Greatest common factor (GCF) of 36712 and 36726 is 2.

GCF(36712,36726) = 2

We will now calculate the prime factors of 36712 and 36726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36712 and 36726.

How to find the GCF of 36712 and 36726?

We will first find the prime factorization of 36712 and 36726. After we will calculate the factors of 36712 and 36726 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 36726

Prime factors of 36726 are 2, 3, 6121. Prime factorization of 36726 in exponential form is:

36726 = 2¹ × 3¹ × 6121¹

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 36726

List of positive integer factors of 36726 that divides 36712 without a remainder.

1, 2, 3, 6, 6121, 12242, 18363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36712 and 36726. The biggest common factor number is the GCF number.
So the greatest common factor 36712 and 36726 is 2.

Also check out the Least Common Multiple of 36712 and 36726