What is the Greatest Common Factor of 37016 and 37036?

Greatest common factor (GCF) of 37016 and 37036 is 4.

GCF(37016,37036) = 4

We will now calculate the prime factors of 37016 and 37036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37016 and 37036.

How to find the GCF of 37016 and 37036?

We will first find the prime factorization of 37016 and 37036. After we will calculate the factors of 37016 and 37036 and find the biggest common factor number .

Step-1: Prime Factorization of 37016

Prime factors of 37016 are 2, 7, 661. Prime factorization of 37016 in exponential form is:

37016 = 2³ × 7¹ × 661¹

Step-2: Prime Factorization of 37036

Prime factors of 37036 are 2, 47, 197. Prime factorization of 37036 in exponential form is:

37036 = 2² × 47¹ × 197¹

Step-3: Factors of 37016

List of positive integer factors of 37016 that divides 37016 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 661, 1322, 2644, 4627, 5288, 9254, 18508

Step-4: Factors of 37036

List of positive integer factors of 37036 that divides 37016 without a remainder.

1, 2, 4, 47, 94, 188, 197, 394, 788, 9259, 18518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37016 and 37036. The biggest common factor number is the GCF number.
So the greatest common factor 37016 and 37036 is 4.

Also check out the Least Common Multiple of 37016 and 37036