What is the Greatest Common Factor of 43264 and 43280?

Greatest common factor (GCF) of 43264 and 43280 is 16.

GCF(43264,43280) = 16

We will now calculate the prime factors of 43264 and 43280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43264 and 43280.

How to find the GCF of 43264 and 43280?

We will first find the prime factorization of 43264 and 43280. After we will calculate the factors of 43264 and 43280 and find the biggest common factor number .

Step-1: Prime Factorization of 43264

Prime factors of 43264 are 2, 13. Prime factorization of 43264 in exponential form is:

43264 = 2⁸ × 13²

Step-2: Prime Factorization of 43280

Prime factors of 43280 are 2, 5, 541. Prime factorization of 43280 in exponential form is:

43280 = 2⁴ × 5¹ × 541¹

Step-3: Factors of 43264

List of positive integer factors of 43264 that divides 43264 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 169, 208, 256, 338, 416, 676, 832, 1352, 1664, 2704, 3328, 5408, 10816, 21632

Step-4: Factors of 43280

List of positive integer factors of 43280 that divides 43264 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 541, 1082, 2164, 2705, 4328, 5410, 8656, 10820, 21640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43264 and 43280. The biggest common factor number is the GCF number.
So the greatest common factor 43264 and 43280 is 16.

Also check out the Least Common Multiple of 43264 and 43280