What is the Greatest Common Factor of 43264 and 43273?

Greatest common factor (GCF) of 43264 and 43273 is 1.

GCF(43264,43273) = 1

We will now calculate the prime factors of 43264 and 43273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43264 and 43273.

How to find the GCF of 43264 and 43273?

We will first find the prime factorization of 43264 and 43273. After we will calculate the factors of 43264 and 43273 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 43273

Prime factors of 43273 are 109, 397. Prime factorization of 43273 in exponential form is:

43273 = 109¹ × 397¹

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 43273

List of positive integer factors of 43273 that divides 43264 without a remainder.

1, 109, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43264 and 43273. The biggest common factor number is the GCF number.
So the greatest common factor 43264 and 43273 is 1.

Also check out the Least Common Multiple of 43264 and 43273