What is the Greatest Common Factor of 20256 and 20273?

Greatest common factor (GCF) of 20256 and 20273 is 1.

GCF(20256,20273) = 1

We will now calculate the prime factors of 20256 and 20273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20256 and 20273.

How to find the GCF of 20256 and 20273?

We will first find the prime factorization of 20256 and 20273. After we will calculate the factors of 20256 and 20273 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 20273

Prime factors of 20273 are 11, 19, 97. Prime factorization of 20273 in exponential form is:

20273 = 11¹ × 19¹ × 97¹

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 20273

List of positive integer factors of 20273 that divides 20256 without a remainder.

1, 11, 19, 97, 209, 1067, 1843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20256 and 20273. The biggest common factor number is the GCF number.
So the greatest common factor 20256 and 20273 is 1.

Also check out the Least Common Multiple of 20256 and 20273