What is the Greatest Common Factor of 20256 and 20267?

Greatest common factor (GCF) of 20256 and 20267 is 1.

GCF(20256,20267) = 1

We will now calculate the prime factors of 20256 and 20267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20256 and 20267.

How to find the GCF of 20256 and 20267?

We will first find the prime factorization of 20256 and 20267. After we will calculate the factors of 20256 and 20267 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 20267

Prime factors of 20267 are 13, 1559. Prime factorization of 20267 in exponential form is:

20267 = 13¹ × 1559¹

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 20267

List of positive integer factors of 20267 that divides 20256 without a remainder.

1, 13, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20256 and 20267. The biggest common factor number is the GCF number.
So the greatest common factor 20256 and 20267 is 1.

Also check out the Least Common Multiple of 20256 and 20267