What is the Greatest Common Factor of 43264 and 43282?

Greatest common factor (GCF) of 43264 and 43282 is 2.

GCF(43264,43282) = 2

We will now calculate the prime factors of 43264 and 43282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43264 and 43282.

How to find the GCF of 43264 and 43282?

We will first find the prime factorization of 43264 and 43282. After we will calculate the factors of 43264 and 43282 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 43282

Prime factors of 43282 are 2, 17, 19, 67. Prime factorization of 43282 in exponential form is:

43282 = 2¹ × 17¹ × 19¹ × 67¹

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 43282

List of positive integer factors of 43282 that divides 43264 without a remainder.

1, 2, 17, 19, 34, 38, 67, 134, 323, 646, 1139, 1273, 2278, 2546, 21641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43264 and 43282. The biggest common factor number is the GCF number.
So the greatest common factor 43264 and 43282 is 2.

Also check out the Least Common Multiple of 43264 and 43282