What is the Greatest Common Factor of 79248 and 79264?

Greatest common factor (GCF) of 79248 and 79264 is 16.

GCF(79248,79264) = 16

We will now calculate the prime factors of 79248 and 79264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79248 and 79264.

How to find the GCF of 79248 and 79264?

We will first find the prime factorization of 79248 and 79264. After we will calculate the factors of 79248 and 79264 and find the biggest common factor number .

Step-1: Prime Factorization of 79248

Prime factors of 79248 are 2, 3, 13, 127. Prime factorization of 79248 in exponential form is:

79248 = 2⁴ × 3¹ × 13¹ × 127¹

Step-2: Prime Factorization of 79264

Prime factors of 79264 are 2, 2477. Prime factorization of 79264 in exponential form is:

79264 = 2⁵ × 2477¹

Step-3: Factors of 79248

List of positive integer factors of 79248 that divides 79248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 127, 156, 208, 254, 312, 381, 508, 624, 762, 1016, 1524, 1651, 2032, 3048, 3302, 4953, 6096, 6604, 9906, 13208, 19812, 26416, 39624

Step-4: Factors of 79264

List of positive integer factors of 79264 that divides 79248 without a remainder.

1, 2, 4, 8, 16, 32, 2477, 4954, 9908, 19816, 39632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79248 and 79264. The biggest common factor number is the GCF number.
So the greatest common factor 79248 and 79264 is 16.

Also check out the Least Common Multiple of 79248 and 79264