What is the Greatest Common Factor of 37544 and 37557?

Greatest common factor (GCF) of 37544 and 37557 is 13.

GCF(37544,37557) = 13

We will now calculate the prime factors of 37544 and 37557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37544 and 37557.

How to find the GCF of 37544 and 37557?

We will first find the prime factorization of 37544 and 37557. After we will calculate the factors of 37544 and 37557 and find the biggest common factor number .

Step-1: Prime Factorization of 37544

Prime factors of 37544 are 2, 13, 19. Prime factorization of 37544 in exponential form is:

37544 = 2³ × 13¹ × 19²

Step-2: Prime Factorization of 37557

Prime factors of 37557 are 3, 13, 107. Prime factorization of 37557 in exponential form is:

37557 = 3³ × 13¹ × 107¹

Step-3: Factors of 37544

List of positive integer factors of 37544 that divides 37544 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 361, 494, 722, 988, 1444, 1976, 2888, 4693, 9386, 18772

Step-4: Factors of 37557

List of positive integer factors of 37557 that divides 37544 without a remainder.

1, 3, 9, 13, 27, 39, 107, 117, 321, 351, 963, 1391, 2889, 4173, 12519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37544 and 37557. The biggest common factor number is the GCF number.
So the greatest common factor 37544 and 37557 is 13.

Also check out the Least Common Multiple of 37544 and 37557