What is the Greatest Common Factor of 37275 and 37295?

Greatest common factor (GCF) of 37275 and 37295 is 5.

GCF(37275,37295) = 5

We will now calculate the prime factors of 37275 and 37295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37275 and 37295.

How to find the GCF of 37275 and 37295?

We will first find the prime factorization of 37275 and 37295. After we will calculate the factors of 37275 and 37295 and find the biggest common factor number .

Step-1: Prime Factorization of 37275

Prime factors of 37275 are 3, 5, 7, 71. Prime factorization of 37275 in exponential form is:

37275 = 3¹ × 5² × 7¹ × 71¹

Step-2: Prime Factorization of 37295

Prime factors of 37295 are 5, 7459. Prime factorization of 37295 in exponential form is:

37295 = 5¹ × 7459¹

Step-3: Factors of 37275

List of positive integer factors of 37275 that divides 37275 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 71, 75, 105, 175, 213, 355, 497, 525, 1065, 1491, 1775, 2485, 5325, 7455, 12425

Step-4: Factors of 37295

List of positive integer factors of 37295 that divides 37275 without a remainder.

1, 5, 7459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37275 and 37295. The biggest common factor number is the GCF number.
So the greatest common factor 37275 and 37295 is 5.

Also check out the Least Common Multiple of 37275 and 37295