What is the Greatest Common Factor of 21944 and 21954?

Greatest common factor (GCF) of 21944 and 21954 is 2.

GCF(21944,21954) = 2

We will now calculate the prime factors of 21944 and 21954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21944 and 21954.

How to find the GCF of 21944 and 21954?

We will first find the prime factorization of 21944 and 21954. After we will calculate the factors of 21944 and 21954 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 21954

Prime factors of 21954 are 2, 3, 3659. Prime factorization of 21954 in exponential form is:

21954 = 2¹ × 3¹ × 3659¹

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 21954

List of positive integer factors of 21954 that divides 21944 without a remainder.

1, 2, 3, 6, 3659, 7318, 10977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21944 and 21954. The biggest common factor number is the GCF number.
So the greatest common factor 21944 and 21954 is 2.

Also check out the Least Common Multiple of 21944 and 21954