What is the Greatest Common Factor of 37752 and 37763?

Greatest common factor (GCF) of 37752 and 37763 is 11.

GCF(37752,37763) = 11

We will now calculate the prime factors of 37752 and 37763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37752 and 37763.

How to find the GCF of 37752 and 37763?

We will first find the prime factorization of 37752 and 37763. After we will calculate the factors of 37752 and 37763 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 37763

Prime factors of 37763 are 11, 3433. Prime factorization of 37763 in exponential form is:

37763 = 11¹ × 3433¹

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 37763

List of positive integer factors of 37763 that divides 37752 without a remainder.

1, 11, 3433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37752 and 37763. The biggest common factor number is the GCF number.
So the greatest common factor 37752 and 37763 is 11.

Also check out the Least Common Multiple of 37752 and 37763