What is the Greatest Common Factor of 37516 and 37528?

Greatest common factor (GCF) of 37516 and 37528 is 4.

GCF(37516,37528) = 4

We will now calculate the prime factors of 37516 and 37528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37516 and 37528.

How to find the GCF of 37516 and 37528?

We will first find the prime factorization of 37516 and 37528. After we will calculate the factors of 37516 and 37528 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37528

Prime factors of 37528 are 2, 4691. Prime factorization of 37528 in exponential form is:

37528 = 2³ × 4691¹

Step-3: Factors of 37516

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

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

Step-4: Factors of 37528

List of positive integer factors of 37528 that divides 37516 without a remainder.

1, 2, 4, 8, 4691, 9382, 18764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37516 and 37528. The biggest common factor number is the GCF number.
So the greatest common factor 37516 and 37528 is 4.

Also check out the Least Common Multiple of 37516 and 37528