What is the Greatest Common Factor of 37597 and 37616?

Greatest common factor (GCF) of 37597 and 37616 is 1.

GCF(37597,37616) = 1

We will now calculate the prime factors of 37597 and 37616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37597 and 37616.

How to find the GCF of 37597 and 37616?

We will first find the prime factorization of 37597 and 37616. After we will calculate the factors of 37597 and 37616 and find the biggest common factor number .

Step-1: Prime Factorization of 37597

Prime factors of 37597 are 7, 41, 131. Prime factorization of 37597 in exponential form is:

37597 = 7¹ × 41¹ × 131¹

Step-2: Prime Factorization of 37616

Prime factors of 37616 are 2, 2351. Prime factorization of 37616 in exponential form is:

37616 = 2⁴ × 2351¹

Step-3: Factors of 37597

List of positive integer factors of 37597 that divides 37597 without a remainder.

1, 7, 41, 131, 287, 917, 5371

Step-4: Factors of 37616

List of positive integer factors of 37616 that divides 37597 without a remainder.

1, 2, 4, 8, 16, 2351, 4702, 9404, 18808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37597 and 37616. The biggest common factor number is the GCF number.
So the greatest common factor 37597 and 37616 is 1.

Also check out the Least Common Multiple of 37597 and 37616