What is the Greatest Common Factor of 37928 and 37932?

Greatest common factor (GCF) of 37928 and 37932 is 4.

GCF(37928,37932) = 4

We will now calculate the prime factors of 37928 and 37932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37928 and 37932.

How to find the GCF of 37928 and 37932?

We will first find the prime factorization of 37928 and 37932. After we will calculate the factors of 37928 and 37932 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 37932

Prime factors of 37932 are 2, 3, 29, 109. Prime factorization of 37932 in exponential form is:

37932 = 2² × 3¹ × 29¹ × 109¹

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 37932

List of positive integer factors of 37932 that divides 37928 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 109, 116, 174, 218, 327, 348, 436, 654, 1308, 3161, 6322, 9483, 12644, 18966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37928 and 37932. The biggest common factor number is the GCF number.
So the greatest common factor 37928 and 37932 is 4.

Also check out the Least Common Multiple of 37928 and 37932