What is the Greatest Common Factor of 37155 and 37175?

Greatest common factor (GCF) of 37155 and 37175 is 5.

GCF(37155,37175) = 5

We will now calculate the prime factors of 37155 and 37175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37155 and 37175.

How to find the GCF of 37155 and 37175?

We will first find the prime factorization of 37155 and 37175. After we will calculate the factors of 37155 and 37175 and find the biggest common factor number .

Step-1: Prime Factorization of 37155

Prime factors of 37155 are 3, 5, 2477. Prime factorization of 37155 in exponential form is:

37155 = 3¹ × 5¹ × 2477¹

Step-2: Prime Factorization of 37175

Prime factors of 37175 are 5, 1487. Prime factorization of 37175 in exponential form is:

37175 = 5² × 1487¹

Step-3: Factors of 37155

List of positive integer factors of 37155 that divides 37155 without a remainder.

1, 3, 5, 15, 2477, 7431, 12385

Step-4: Factors of 37175

List of positive integer factors of 37175 that divides 37155 without a remainder.

1, 5, 25, 1487, 7435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37155 and 37175. The biggest common factor number is the GCF number.
So the greatest common factor 37155 and 37175 is 5.

Also check out the Least Common Multiple of 37155 and 37175