What is the Greatest Common Factor of 37564 and 37568?

Greatest common factor (GCF) of 37564 and 37568 is 4.

GCF(37564,37568) = 4

We will now calculate the prime factors of 37564 and 37568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37564 and 37568.

How to find the GCF of 37564 and 37568?

We will first find the prime factorization of 37564 and 37568. After we will calculate the factors of 37564 and 37568 and find the biggest common factor number .

Step-1: Prime Factorization of 37564

Prime factors of 37564 are 2, 9391. Prime factorization of 37564 in exponential form is:

37564 = 2² × 9391¹

Step-2: Prime Factorization of 37568

Prime factors of 37568 are 2, 587. Prime factorization of 37568 in exponential form is:

37568 = 2⁶ × 587¹

Step-3: Factors of 37564

List of positive integer factors of 37564 that divides 37564 without a remainder.

1, 2, 4, 9391, 18782

Step-4: Factors of 37568

List of positive integer factors of 37568 that divides 37564 without a remainder.

1, 2, 4, 8, 16, 32, 64, 587, 1174, 2348, 4696, 9392, 18784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37564 and 37568. The biggest common factor number is the GCF number.
So the greatest common factor 37564 and 37568 is 4.

Also check out the Least Common Multiple of 37564 and 37568