What is the Greatest Common Factor of 37264 and 37280?

Greatest common factor (GCF) of 37264 and 37280 is 16.

GCF(37264,37280) = 16

We will now calculate the prime factors of 37264 and 37280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37264 and 37280.

How to find the GCF of 37264 and 37280?

We will first find the prime factorization of 37264 and 37280. After we will calculate the factors of 37264 and 37280 and find the biggest common factor number .

Step-1: Prime Factorization of 37264

Prime factors of 37264 are 2, 17, 137. Prime factorization of 37264 in exponential form is:

37264 = 2⁴ × 17¹ × 137¹

Step-2: Prime Factorization of 37280

Prime factors of 37280 are 2, 5, 233. Prime factorization of 37280 in exponential form is:

37280 = 2⁵ × 5¹ × 233¹

Step-3: Factors of 37264

List of positive integer factors of 37264 that divides 37264 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 137, 272, 274, 548, 1096, 2192, 2329, 4658, 9316, 18632

Step-4: Factors of 37280

List of positive integer factors of 37280 that divides 37264 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 233, 466, 932, 1165, 1864, 2330, 3728, 4660, 7456, 9320, 18640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37264 and 37280. The biggest common factor number is the GCF number.
So the greatest common factor 37264 and 37280 is 16.

Also check out the Least Common Multiple of 37264 and 37280