What is the Greatest Common Factor of 37548 and 37552?

Greatest common factor (GCF) of 37548 and 37552 is 4.

GCF(37548,37552) = 4

We will now calculate the prime factors of 37548 and 37552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37548 and 37552.

How to find the GCF of 37548 and 37552?

We will first find the prime factorization of 37548 and 37552. After we will calculate the factors of 37548 and 37552 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37552

Prime factors of 37552 are 2, 2347. Prime factorization of 37552 in exponential form is:

37552 = 2⁴ × 2347¹

Step-3: Factors of 37548

List of positive integer factors of 37548 that divides 37548 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

Step-4: Factors of 37552

List of positive integer factors of 37552 that divides 37548 without a remainder.

1, 2, 4, 8, 16, 2347, 4694, 9388, 18776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37548 and 37552. The biggest common factor number is the GCF number.
So the greatest common factor 37548 and 37552 is 4.

Also check out the Least Common Multiple of 37548 and 37552