What is the Greatest Common Factor of 37216 and 37228?

Greatest common factor (GCF) of 37216 and 37228 is 4.

GCF(37216,37228) = 4

We will now calculate the prime factors of 37216 and 37228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37216 and 37228.

How to find the GCF of 37216 and 37228?

We will first find the prime factorization of 37216 and 37228. After we will calculate the factors of 37216 and 37228 and find the biggest common factor number .

Step-1: Prime Factorization of 37216

Prime factors of 37216 are 2, 1163. Prime factorization of 37216 in exponential form is:

37216 = 2⁵ × 1163¹

Step-2: Prime Factorization of 37228

Prime factors of 37228 are 2, 41, 227. Prime factorization of 37228 in exponential form is:

37228 = 2² × 41¹ × 227¹

Step-3: Factors of 37216

List of positive integer factors of 37216 that divides 37216 without a remainder.

1, 2, 4, 8, 16, 32, 1163, 2326, 4652, 9304, 18608

Step-4: Factors of 37228

List of positive integer factors of 37228 that divides 37216 without a remainder.

1, 2, 4, 41, 82, 164, 227, 454, 908, 9307, 18614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37216 and 37228. The biggest common factor number is the GCF number.
So the greatest common factor 37216 and 37228 is 4.

Also check out the Least Common Multiple of 37216 and 37228