What is the Greatest Common Factor of 37544 and 37548?

Greatest common factor (GCF) of 37544 and 37548 is 4.

GCF(37544,37548) = 4

We will now calculate the prime factors of 37544 and 37548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37544 and 37548.

How to find the GCF of 37544 and 37548?

We will first find the prime factorization of 37544 and 37548. After we will calculate the factors of 37544 and 37548 and find the biggest common factor number .

Step-1: Prime Factorization of 37544

Prime factors of 37544 are 2, 13, 19. Prime factorization of 37544 in exponential form is:

37544 = 2³ × 13¹ × 19²

Step-2: Prime Factorization of 37548

Prime factors of 37548 are 2, 3, 7, 149. Prime factorization of 37548 in exponential form is:

37548 = 2² × 3² × 7¹ × 149¹

Step-3: Factors of 37544

List of positive integer factors of 37544 that divides 37544 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 361, 494, 722, 988, 1444, 1976, 2888, 4693, 9386, 18772

Step-4: Factors of 37548

List of positive integer factors of 37548 that divides 37544 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 149, 252, 298, 447, 596, 894, 1043, 1341, 1788, 2086, 2682, 3129, 4172, 5364, 6258, 9387, 12516, 18774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37544 and 37548. The biggest common factor number is the GCF number.
So the greatest common factor 37544 and 37548 is 4.

Also check out the Least Common Multiple of 37544 and 37548