What is the Greatest Common Factor of 37369 and 37375?

Greatest common factor (GCF) of 37369 and 37375 is 1.

GCF(37369,37375) = 1

We will now calculate the prime factors of 37369 and 37375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37369 and 37375.

How to find the GCF of 37369 and 37375?

We will first find the prime factorization of 37369 and 37375. After we will calculate the factors of 37369 and 37375 and find the biggest common factor number .

Step-1: Prime Factorization of 37369

Prime factors of 37369 are 37369. Prime factorization of 37369 in exponential form is:

37369 = 37369¹

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 37369

List of positive integer factors of 37369 that divides 37369 without a remainder.

Step-4: Factors of 37375

List of positive integer factors of 37375 that divides 37369 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 37369 and 37375. The biggest common factor number is the GCF number.
So the greatest common factor 37369 and 37375 is 1.

Also check out the Least Common Multiple of 37369 and 37375