What is the Greatest Common Factor of 20256 and 20262?

Greatest common factor (GCF) of 20256 and 20262 is 6.

GCF(20256,20262) = 6

We will now calculate the prime factors of 20256 and 20262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20256 and 20262.

How to find the GCF of 20256 and 20262?

We will first find the prime factorization of 20256 and 20262. After we will calculate the factors of 20256 and 20262 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 20262

Prime factors of 20262 are 2, 3, 11, 307. Prime factorization of 20262 in exponential form is:

20262 = 2¹ × 3¹ × 11¹ × 307¹

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 20262

List of positive integer factors of 20262 that divides 20256 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 307, 614, 921, 1842, 3377, 6754, 10131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20256 and 20262. The biggest common factor number is the GCF number.
So the greatest common factor 20256 and 20262 is 6.

Also check out the Least Common Multiple of 20256 and 20262