What is the Greatest Common Factor of 37584 and 37592?

Greatest common factor (GCF) of 37584 and 37592 is 8.

GCF(37584,37592) = 8

We will now calculate the prime factors of 37584 and 37592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37584 and 37592.

How to find the GCF of 37584 and 37592?

We will first find the prime factorization of 37584 and 37592. After we will calculate the factors of 37584 and 37592 and find the biggest common factor number .

Step-1: Prime Factorization of 37584

Prime factors of 37584 are 2, 3, 29. Prime factorization of 37584 in exponential form is:

37584 = 2⁴ × 3⁴ × 29¹

Step-2: 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-3: Factors of 37584

List of positive integer factors of 37584 that divides 37584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 36, 48, 54, 58, 72, 81, 87, 108, 116, 144, 162, 174, 216, 232, 261, 324, 348, 432, 464, 522, 648, 696, 783, 1044, 1296, 1392, 1566, 2088, 2349, 3132, 4176, 4698, 6264, 9396, 12528, 18792

Step-4: Factors of 37592

List of positive integer factors of 37592 that divides 37584 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37584 and 37592. The biggest common factor number is the GCF number.
So the greatest common factor 37584 and 37592 is 8.

Also check out the Least Common Multiple of 37584 and 37592