What is the Greatest Common Factor of 21939 and 21951?

Greatest common factor (GCF) of 21939 and 21951 is 3.

GCF(21939,21951) = 3

We will now calculate the prime factors of 21939 and 21951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21939 and 21951.

How to find the GCF of 21939 and 21951?

We will first find the prime factorization of 21939 and 21951. After we will calculate the factors of 21939 and 21951 and find the biggest common factor number .

Step-1: Prime Factorization of 21939

Prime factors of 21939 are 3, 71, 103. Prime factorization of 21939 in exponential form is:

21939 = 3¹ × 71¹ × 103¹

Step-2: Prime Factorization of 21951

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

21951 = 3⁴ × 271¹

Step-3: Factors of 21939

List of positive integer factors of 21939 that divides 21939 without a remainder.

1, 3, 71, 103, 213, 309, 7313

Step-4: Factors of 21951

List of positive integer factors of 21951 that divides 21939 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21939 and 21951. The biggest common factor number is the GCF number.
So the greatest common factor 21939 and 21951 is 3.

Also check out the Least Common Multiple of 21939 and 21951