What is the Greatest Common Factor of 37554 and 37572?

Greatest common factor (GCF) of 37554 and 37572 is 6.

GCF(37554,37572) = 6

We will now calculate the prime factors of 37554 and 37572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37554 and 37572.

How to find the GCF of 37554 and 37572?

We will first find the prime factorization of 37554 and 37572. After we will calculate the factors of 37554 and 37572 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37572

Prime factors of 37572 are 2, 3, 31, 101. Prime factorization of 37572 in exponential form is:

37572 = 2² × 3¹ × 31¹ × 101¹

Step-3: Factors of 37554

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

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

Step-4: Factors of 37572

List of positive integer factors of 37572 that divides 37554 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 101, 124, 186, 202, 303, 372, 404, 606, 1212, 3131, 6262, 9393, 12524, 18786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37554 and 37572. The biggest common factor number is the GCF number.
So the greatest common factor 37554 and 37572 is 6.

Also check out the Least Common Multiple of 37554 and 37572