What is the Greatest Common Factor of 37315 and 37321?

Greatest common factor (GCF) of 37315 and 37321 is 1.

GCF(37315,37321) = 1

We will now calculate the prime factors of 37315 and 37321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37315 and 37321.

How to find the GCF of 37315 and 37321?

We will first find the prime factorization of 37315 and 37321. After we will calculate the factors of 37315 and 37321 and find the biggest common factor number .

Step-1: Prime Factorization of 37315

Prime factors of 37315 are 5, 17, 439. Prime factorization of 37315 in exponential form is:

37315 = 5¹ × 17¹ × 439¹

Step-2: Prime Factorization of 37321

Prime factors of 37321 are 37321. Prime factorization of 37321 in exponential form is:

37321 = 37321¹

Step-3: Factors of 37315

List of positive integer factors of 37315 that divides 37315 without a remainder.

1, 5, 17, 85, 439, 2195, 7463

Step-4: Factors of 37321

List of positive integer factors of 37321 that divides 37315 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37315 and 37321. The biggest common factor number is the GCF number.
So the greatest common factor 37315 and 37321 is 1.

Also check out the Least Common Multiple of 37315 and 37321