What is the Greatest Common Factor of 59248 and 59264?

Greatest common factor (GCF) of 59248 and 59264 is 16.

GCF(59248,59264) = 16

We will now calculate the prime factors of 59248 and 59264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59248 and 59264.

How to find the GCF of 59248 and 59264?

We will first find the prime factorization of 59248 and 59264. After we will calculate the factors of 59248 and 59264 and find the biggest common factor number .

Step-1: Prime Factorization of 59248

Prime factors of 59248 are 2, 7, 23. Prime factorization of 59248 in exponential form is:

59248 = 2⁴ × 7¹ × 23²

Step-2: Prime Factorization of 59264

Prime factors of 59264 are 2, 463. Prime factorization of 59264 in exponential form is:

59264 = 2⁷ × 463¹

Step-3: Factors of 59248

List of positive integer factors of 59248 that divides 59248 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 529, 644, 1058, 1288, 2116, 2576, 3703, 4232, 7406, 8464, 14812, 29624

Step-4: Factors of 59264

List of positive integer factors of 59264 that divides 59248 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 463, 926, 1852, 3704, 7408, 14816, 29632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59248 and 59264. The biggest common factor number is the GCF number.
So the greatest common factor 59248 and 59264 is 16.

Also check out the Least Common Multiple of 59248 and 59264