What is the Greatest Common Factor of 37504 and 37512?

Greatest common factor (GCF) of 37504 and 37512 is 8.

GCF(37504,37512) = 8

We will now calculate the prime factors of 37504 and 37512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37504 and 37512.

How to find the GCF of 37504 and 37512?

We will first find the prime factorization of 37504 and 37512. After we will calculate the factors of 37504 and 37512 and find the biggest common factor number .

Step-1: Prime Factorization of 37504

Prime factors of 37504 are 2, 293. Prime factorization of 37504 in exponential form is:

37504 = 2⁷ × 293¹

Step-2: Prime Factorization of 37512

Prime factors of 37512 are 2, 3, 521. Prime factorization of 37512 in exponential form is:

37512 = 2³ × 3² × 521¹

Step-3: Factors of 37504

List of positive integer factors of 37504 that divides 37504 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 293, 586, 1172, 2344, 4688, 9376, 18752

Step-4: Factors of 37512

List of positive integer factors of 37512 that divides 37504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 521, 1042, 1563, 2084, 3126, 4168, 4689, 6252, 9378, 12504, 18756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37504 and 37512. The biggest common factor number is the GCF number.
So the greatest common factor 37504 and 37512 is 8.

Also check out the Least Common Multiple of 37504 and 37512