What is the Greatest Common Factor of 20256 and 20264?

Greatest common factor (GCF) of 20256 and 20264 is 8.

GCF(20256,20264) = 8

We will now calculate the prime factors of 20256 and 20264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20256 and 20264.

How to find the GCF of 20256 and 20264?

We will first find the prime factorization of 20256 and 20264. After we will calculate the factors of 20256 and 20264 and find the biggest common factor number .

Step-1: Prime Factorization of 20256

Prime factors of 20256 are 2, 3, 211. Prime factorization of 20256 in exponential form is:

20256 = 2⁵ × 3¹ × 211¹

Step-2: Prime Factorization of 20264

Prime factors of 20264 are 2, 17, 149. Prime factorization of 20264 in exponential form is:

20264 = 2³ × 17¹ × 149¹

Step-3: Factors of 20256

List of positive integer factors of 20256 that divides 20256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 211, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128

Step-4: Factors of 20264

List of positive integer factors of 20264 that divides 20256 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 149, 298, 596, 1192, 2533, 5066, 10132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20256 and 20264. The biggest common factor number is the GCF number.
So the greatest common factor 20256 and 20264 is 8.

Also check out the Least Common Multiple of 20256 and 20264