What is the Greatest Common Factor of 37928 and 37936?

Greatest common factor (GCF) of 37928 and 37936 is 8.

GCF(37928,37936) = 8

We will now calculate the prime factors of 37928 and 37936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37928 and 37936.

How to find the GCF of 37928 and 37936?

We will first find the prime factorization of 37928 and 37936. After we will calculate the factors of 37928 and 37936 and find the biggest common factor number .

Step-1: Prime Factorization of 37928

Prime factors of 37928 are 2, 11, 431. Prime factorization of 37928 in exponential form is:

37928 = 2³ × 11¹ × 431¹

Step-2: Prime Factorization of 37936

Prime factors of 37936 are 2, 2371. Prime factorization of 37936 in exponential form is:

37936 = 2⁴ × 2371¹

Step-3: Factors of 37928

List of positive integer factors of 37928 that divides 37928 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 431, 862, 1724, 3448, 4741, 9482, 18964

Step-4: Factors of 37936

List of positive integer factors of 37936 that divides 37928 without a remainder.

1, 2, 4, 8, 16, 2371, 4742, 9484, 18968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37928 and 37936. The biggest common factor number is the GCF number.
So the greatest common factor 37928 and 37936 is 8.

Also check out the Least Common Multiple of 37928 and 37936