What is the Greatest Common Factor of 37475 and 37482?

Greatest common factor (GCF) of 37475 and 37482 is 1.

GCF(37475,37482) = 1

We will now calculate the prime factors of 37475 and 37482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37475 and 37482.

How to find the GCF of 37475 and 37482?

We will first find the prime factorization of 37475 and 37482. After we will calculate the factors of 37475 and 37482 and find the biggest common factor number .

Step-1: Prime Factorization of 37475

Prime factors of 37475 are 5, 1499. Prime factorization of 37475 in exponential form is:

37475 = 5² × 1499¹

Step-2: Prime Factorization of 37482

Prime factors of 37482 are 2, 3, 6247. Prime factorization of 37482 in exponential form is:

37482 = 2¹ × 3¹ × 6247¹

Step-3: Factors of 37475

List of positive integer factors of 37475 that divides 37475 without a remainder.

1, 5, 25, 1499, 7495

Step-4: Factors of 37482

List of positive integer factors of 37482 that divides 37475 without a remainder.

1, 2, 3, 6, 6247, 12494, 18741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37475 and 37482. The biggest common factor number is the GCF number.
So the greatest common factor 37475 and 37482 is 1.

Also check out the Least Common Multiple of 37475 and 37482