What is the Greatest Common Factor of 21944 and 21962?

Greatest common factor (GCF) of 21944 and 21962 is 2.

GCF(21944,21962) = 2

We will now calculate the prime factors of 21944 and 21962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21944 and 21962.

How to find the GCF of 21944 and 21962?

We will first find the prime factorization of 21944 and 21962. After we will calculate the factors of 21944 and 21962 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 21962

Prime factors of 21962 are 2, 79, 139. Prime factorization of 21962 in exponential form is:

21962 = 2¹ × 79¹ × 139¹

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 21962

List of positive integer factors of 21962 that divides 21944 without a remainder.

1, 2, 79, 139, 158, 278, 10981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21944 and 21962. The biggest common factor number is the GCF number.
So the greatest common factor 21944 and 21962 is 2.

Also check out the Least Common Multiple of 21944 and 21962