What is the Greatest Common Factor of 43248 and 43264?

Greatest common factor (GCF) of 43248 and 43264 is 16.

GCF(43248,43264) = 16

We will now calculate the prime factors of 43248 and 43264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43248 and 43264.

How to find the GCF of 43248 and 43264?

We will first find the prime factorization of 43248 and 43264. After we will calculate the factors of 43248 and 43264 and find the biggest common factor number .

Step-1: Prime Factorization of 43248

Prime factors of 43248 are 2, 3, 17, 53. Prime factorization of 43248 in exponential form is:

43248 = 2⁴ × 3¹ × 17¹ × 53¹

Step-2: Prime Factorization of 43264

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

43264 = 2⁸ × 13²

Step-3: Factors of 43248

List of positive integer factors of 43248 that divides 43248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 53, 68, 102, 106, 136, 159, 204, 212, 272, 318, 408, 424, 636, 816, 848, 901, 1272, 1802, 2544, 2703, 3604, 5406, 7208, 10812, 14416, 21624

Step-4: Factors of 43264

List of positive integer factors of 43264 that divides 43248 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43248 and 43264. The biggest common factor number is the GCF number.
So the greatest common factor 43248 and 43264 is 16.

Also check out the Least Common Multiple of 43248 and 43264