What is the Greatest Common Factor of 37362 and 37375?

Greatest common factor (GCF) of 37362 and 37375 is 13.

GCF(37362,37375) = 13

We will now calculate the prime factors of 37362 and 37375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37362 and 37375.

How to find the GCF of 37362 and 37375?

We will first find the prime factorization of 37362 and 37375. After we will calculate the factors of 37362 and 37375 and find the biggest common factor number .

Step-1: Prime Factorization of 37362

Prime factors of 37362 are 2, 3, 13, 479. Prime factorization of 37362 in exponential form is:

37362 = 2¹ × 3¹ × 13¹ × 479¹

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 37362

List of positive integer factors of 37362 that divides 37362 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 479, 958, 1437, 2874, 6227, 12454, 18681

Step-4: Factors of 37375

List of positive integer factors of 37375 that divides 37362 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 37362 and 37375. The biggest common factor number is the GCF number.
So the greatest common factor 37362 and 37375 is 13.

Also check out the Least Common Multiple of 37362 and 37375