What is the Greatest Common Factor of 37516 and 37522?

Greatest common factor (GCF) of 37516 and 37522 is 2.

GCF(37516,37522) = 2

We will now calculate the prime factors of 37516 and 37522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37516 and 37522.

How to find the GCF of 37516 and 37522?

We will first find the prime factorization of 37516 and 37522. After we will calculate the factors of 37516 and 37522 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 37522

Prime factors of 37522 are 2, 73, 257. Prime factorization of 37522 in exponential form is:

37522 = 2¹ × 73¹ × 257¹

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 37522

List of positive integer factors of 37522 that divides 37516 without a remainder.

1, 2, 73, 146, 257, 514, 18761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37516 and 37522. The biggest common factor number is the GCF number.
So the greatest common factor 37516 and 37522 is 2.

Also check out the Least Common Multiple of 37516 and 37522