What is the Greatest Common Factor of 37560 and 37572?

Greatest common factor (GCF) of 37560 and 37572 is 12.

GCF(37560,37572) = 12

We will now calculate the prime factors of 37560 and 37572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37560 and 37572.

How to find the GCF of 37560 and 37572?

We will first find the prime factorization of 37560 and 37572. After we will calculate the factors of 37560 and 37572 and find the biggest common factor number .

Step-1: Prime Factorization of 37560

Prime factors of 37560 are 2, 3, 5, 313. Prime factorization of 37560 in exponential form is:

37560 = 2³ × 3¹ × 5¹ × 313¹

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 37560

List of positive integer factors of 37560 that divides 37560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 313, 626, 939, 1252, 1565, 1878, 2504, 3130, 3756, 4695, 6260, 7512, 9390, 12520, 18780

Step-4: Factors of 37572

List of positive integer factors of 37572 that divides 37560 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 37560 and 37572. The biggest common factor number is the GCF number.
So the greatest common factor 37560 and 37572 is 12.

Also check out the Least Common Multiple of 37560 and 37572