What is the Greatest Common Factor of 37368 and 37375?

Greatest common factor (GCF) of 37368 and 37375 is 1.

GCF(37368,37375) = 1

We will now calculate the prime factors of 37368 and 37375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37368 and 37375.

How to find the GCF of 37368 and 37375?

We will first find the prime factorization of 37368 and 37375. After we will calculate the factors of 37368 and 37375 and find the biggest common factor number .

Step-1: Prime Factorization of 37368

Prime factors of 37368 are 2, 3, 173. Prime factorization of 37368 in exponential form is:

37368 = 2³ × 3³ × 173¹

Step-2: Prime Factorization of 37375

Prime factors of 37375 are 5, 13, 23. Prime factorization of 37375 in exponential form is:

37375 = 5³ × 13¹ × 23¹

Step-3: Factors of 37368

List of positive integer factors of 37368 that divides 37368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 173, 216, 346, 519, 692, 1038, 1384, 1557, 2076, 3114, 4152, 4671, 6228, 9342, 12456, 18684

Step-4: Factors of 37375

List of positive integer factors of 37375 that divides 37368 without a remainder.

1, 5, 13, 23, 25, 65, 115, 125, 299, 325, 575, 1495, 1625, 2875, 7475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37368 and 37375. The biggest common factor number is the GCF number.
So the greatest common factor 37368 and 37375 is 1.

Also check out the Least Common Multiple of 37368 and 37375