What is the Greatest Common Factor of 37592 and 37608?

Greatest common factor (GCF) of 37592 and 37608 is 8.

GCF(37592,37608) = 8

We will now calculate the prime factors of 37592 and 37608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37592 and 37608.

How to find the GCF of 37592 and 37608?

We will first find the prime factorization of 37592 and 37608. After we will calculate the factors of 37592 and 37608 and find the biggest common factor number .

Step-1: Prime Factorization of 37592

Prime factors of 37592 are 2, 37, 127. Prime factorization of 37592 in exponential form is:

37592 = 2³ × 37¹ × 127¹

Step-2: Prime Factorization of 37608

Prime factors of 37608 are 2, 3, 1567. Prime factorization of 37608 in exponential form is:

37608 = 2³ × 3¹ × 1567¹

Step-3: Factors of 37592

List of positive integer factors of 37592 that divides 37592 without a remainder.

1, 2, 4, 8, 37, 74, 127, 148, 254, 296, 508, 1016, 4699, 9398, 18796

Step-4: Factors of 37608

List of positive integer factors of 37608 that divides 37592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1567, 3134, 4701, 6268, 9402, 12536, 18804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37592 and 37608. The biggest common factor number is the GCF number.
So the greatest common factor 37592 and 37608 is 8.

Also check out the Least Common Multiple of 37592 and 37608