What is the Greatest Common Factor of 37548 and 37554?

Greatest common factor (GCF) of 37548 and 37554 is 6.

GCF(37548,37554) = 6

We will now calculate the prime factors of 37548 and 37554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37548 and 37554.

How to find the GCF of 37548 and 37554?

We will first find the prime factorization of 37548 and 37554. After we will calculate the factors of 37548 and 37554 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 37554

Prime factors of 37554 are 2, 3, 11, 569. Prime factorization of 37554 in exponential form is:

37554 = 2¹ × 3¹ × 11¹ × 569¹

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 37554

List of positive integer factors of 37554 that divides 37548 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 569, 1138, 1707, 3414, 6259, 12518, 18777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37548 and 37554. The biggest common factor number is the GCF number.
So the greatest common factor 37548 and 37554 is 6.

Also check out the Least Common Multiple of 37548 and 37554