What is the Greatest Common Factor of 21944 and 21964?

Greatest common factor (GCF) of 21944 and 21964 is 4.

GCF(21944,21964) = 4

We will now calculate the prime factors of 21944 and 21964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21944 and 21964.

How to find the GCF of 21944 and 21964?

We will first find the prime factorization of 21944 and 21964. After we will calculate the factors of 21944 and 21964 and find the biggest common factor number .

Step-1: Prime Factorization of 21944

Prime factors of 21944 are 2, 13, 211. Prime factorization of 21944 in exponential form is:

21944 = 2³ × 13¹ × 211¹

Step-2: Prime Factorization of 21964

Prime factors of 21964 are 2, 17, 19. Prime factorization of 21964 in exponential form is:

21964 = 2² × 17² × 19¹

Step-3: Factors of 21944

List of positive integer factors of 21944 that divides 21944 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 211, 422, 844, 1688, 2743, 5486, 10972

Step-4: Factors of 21964

List of positive integer factors of 21964 that divides 21944 without a remainder.

1, 2, 4, 17, 19, 34, 38, 68, 76, 289, 323, 578, 646, 1156, 1292, 5491, 10982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21944 and 21964. The biggest common factor number is the GCF number.
So the greatest common factor 21944 and 21964 is 4.

Also check out the Least Common Multiple of 21944 and 21964