What is the Greatest Common Factor of 37075 and 37095?

Greatest common factor (GCF) of 37075 and 37095 is 5.

GCF(37075,37095) = 5

We will now calculate the prime factors of 37075 and 37095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37075 and 37095.

How to find the GCF of 37075 and 37095?

We will first find the prime factorization of 37075 and 37095. After we will calculate the factors of 37075 and 37095 and find the biggest common factor number .

Step-1: Prime Factorization of 37075

Prime factors of 37075 are 5, 1483. Prime factorization of 37075 in exponential form is:

37075 = 5² × 1483¹

Step-2: Prime Factorization of 37095

Prime factors of 37095 are 3, 5, 2473. Prime factorization of 37095 in exponential form is:

37095 = 3¹ × 5¹ × 2473¹

Step-3: Factors of 37075

List of positive integer factors of 37075 that divides 37075 without a remainder.

1, 5, 25, 1483, 7415

Step-4: Factors of 37095

List of positive integer factors of 37095 that divides 37075 without a remainder.

1, 3, 5, 15, 2473, 7419, 12365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37075 and 37095. The biggest common factor number is the GCF number.
So the greatest common factor 37075 and 37095 is 5.

Also check out the Least Common Multiple of 37075 and 37095