What is the Greatest Common Factor of 37507 and 37516?

Greatest common factor (GCF) of 37507 and 37516 is 1.

GCF(37507,37516) = 1

We will now calculate the prime factors of 37507 and 37516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37507 and 37516.

How to find the GCF of 37507 and 37516?

We will first find the prime factorization of 37507 and 37516. After we will calculate the factors of 37507 and 37516 and find the biggest common factor number .

Step-1: Prime Factorization of 37507

Prime factors of 37507 are 37507. Prime factorization of 37507 in exponential form is:

37507 = 37507¹

Step-2: Prime Factorization of 37516

Prime factors of 37516 are 2, 83, 113. Prime factorization of 37516 in exponential form is:

37516 = 2² × 83¹ × 113¹

Step-3: Factors of 37507

List of positive integer factors of 37507 that divides 37507 without a remainder.

Step-4: Factors of 37516

List of positive integer factors of 37516 that divides 37507 without a remainder.

1, 2, 4, 83, 113, 166, 226, 332, 452, 9379, 18758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37507 and 37516. The biggest common factor number is the GCF number.
So the greatest common factor 37507 and 37516 is 1.

Also check out the Least Common Multiple of 37507 and 37516