What is the Greatest Common Factor of 21256 and 21274?

Greatest common factor (GCF) of 21256 and 21274 is 2.

GCF(21256,21274) = 2

We will now calculate the prime factors of 21256 and 21274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21256 and 21274.

How to find the GCF of 21256 and 21274?

We will first find the prime factorization of 21256 and 21274. After we will calculate the factors of 21256 and 21274 and find the biggest common factor number .

Step-1: Prime Factorization of 21256

Prime factors of 21256 are 2, 2657. Prime factorization of 21256 in exponential form is:

21256 = 2³ × 2657¹

Step-2: Prime Factorization of 21274

Prime factors of 21274 are 2, 11, 967. Prime factorization of 21274 in exponential form is:

21274 = 2¹ × 11¹ × 967¹

Step-3: Factors of 21256

List of positive integer factors of 21256 that divides 21256 without a remainder.

1, 2, 4, 8, 2657, 5314, 10628

Step-4: Factors of 21274

List of positive integer factors of 21274 that divides 21256 without a remainder.

1, 2, 11, 22, 967, 1934, 10637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21256 and 21274. The biggest common factor number is the GCF number.
So the greatest common factor 21256 and 21274 is 2.

Also check out the Least Common Multiple of 21256 and 21274