What is the Greatest Common Factor of 37752 and 37764?

Greatest common factor (GCF) of 37752 and 37764 is 12.

GCF(37752,37764) = 12

We will now calculate the prime factors of 37752 and 37764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37752 and 37764.

How to find the GCF of 37752 and 37764?

We will first find the prime factorization of 37752 and 37764. After we will calculate the factors of 37752 and 37764 and find the biggest common factor number .

Step-1: Prime Factorization of 37752

Prime factors of 37752 are 2, 3, 11, 13. Prime factorization of 37752 in exponential form is:

37752 = 2³ × 3¹ × 11² × 13¹

Step-2: Prime Factorization of 37764

Prime factors of 37764 are 2, 3, 1049. Prime factorization of 37764 in exponential form is:

37764 = 2² × 3² × 1049¹

Step-3: Factors of 37752

List of positive integer factors of 37752 that divides 37752 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 121, 132, 143, 156, 242, 264, 286, 312, 363, 429, 484, 572, 726, 858, 968, 1144, 1452, 1573, 1716, 2904, 3146, 3432, 4719, 6292, 9438, 12584, 18876

Step-4: Factors of 37764

List of positive integer factors of 37764 that divides 37752 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1049, 2098, 3147, 4196, 6294, 9441, 12588, 18882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37752 and 37764. The biggest common factor number is the GCF number.
So the greatest common factor 37752 and 37764 is 12.

Also check out the Least Common Multiple of 37752 and 37764