What is the Greatest Common Factor of 37712 and 37726?

Greatest common factor (GCF) of 37712 and 37726 is 2.

GCF(37712,37726) = 2

We will now calculate the prime factors of 37712 and 37726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37712 and 37726.

How to find the GCF of 37712 and 37726?

We will first find the prime factorization of 37712 and 37726. After we will calculate the factors of 37712 and 37726 and find the biggest common factor number .

Step-1: Prime Factorization of 37712

Prime factors of 37712 are 2, 2357. Prime factorization of 37712 in exponential form is:

37712 = 2⁴ × 2357¹

Step-2: Prime Factorization of 37726

Prime factors of 37726 are 2, 13, 1451. Prime factorization of 37726 in exponential form is:

37726 = 2¹ × 13¹ × 1451¹

Step-3: Factors of 37712

List of positive integer factors of 37712 that divides 37712 without a remainder.

1, 2, 4, 8, 16, 2357, 4714, 9428, 18856

Step-4: Factors of 37726

List of positive integer factors of 37726 that divides 37712 without a remainder.

1, 2, 13, 26, 1451, 2902, 18863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37712 and 37726. The biggest common factor number is the GCF number.
So the greatest common factor 37712 and 37726 is 2.

Also check out the Least Common Multiple of 37712 and 37726