What is the Greatest Common Factor of 21951 and 21969?

Greatest common factor (GCF) of 21951 and 21969 is 9.

GCF(21951,21969) = 9

We will now calculate the prime factors of 21951 and 21969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21951 and 21969.

How to find the GCF of 21951 and 21969?

We will first find the prime factorization of 21951 and 21969. After we will calculate the factors of 21951 and 21969 and find the biggest common factor number .

Step-1: Prime Factorization of 21951

Prime factors of 21951 are 3, 271. Prime factorization of 21951 in exponential form is:

21951 = 3⁴ × 271¹

Step-2: Prime Factorization of 21969

Prime factors of 21969 are 3, 2441. Prime factorization of 21969 in exponential form is:

21969 = 3² × 2441¹

Step-3: Factors of 21951

List of positive integer factors of 21951 that divides 21951 without a remainder.

1, 3, 9, 27, 81, 271, 813, 2439, 7317

Step-4: Factors of 21969

List of positive integer factors of 21969 that divides 21951 without a remainder.

1, 3, 9, 2441, 7323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21951 and 21969. The biggest common factor number is the GCF number.
So the greatest common factor 21951 and 21969 is 9.

Also check out the Least Common Multiple of 21951 and 21969