What is the Greatest Common Factor of 21456 and 21461?

Greatest common factor (GCF) of 21456 and 21461 is 1.

GCF(21456,21461) = 1

We will now calculate the prime factors of 21456 and 21461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21456 and 21461.

How to find the GCF of 21456 and 21461?

We will first find the prime factorization of 21456 and 21461. After we will calculate the factors of 21456 and 21461 and find the biggest common factor number .

Step-1: Prime Factorization of 21456

Prime factors of 21456 are 2, 3, 149. Prime factorization of 21456 in exponential form is:

21456 = 2⁴ × 3² × 149¹

Step-2: Prime Factorization of 21461

Prime factors of 21461 are 11, 1951. Prime factorization of 21461 in exponential form is:

21461 = 11¹ × 1951¹

Step-3: Factors of 21456

List of positive integer factors of 21456 that divides 21456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 149, 298, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 5364, 7152, 10728

Step-4: Factors of 21461

List of positive integer factors of 21461 that divides 21456 without a remainder.

1, 11, 1951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21456 and 21461. The biggest common factor number is the GCF number.
So the greatest common factor 21456 and 21461 is 1.

Also check out the Least Common Multiple of 21456 and 21461