What is the Greatest Common Factor of 20922 and 20938?

Greatest common factor (GCF) of 20922 and 20938 is 2.

GCF(20922,20938) = 2

We will now calculate the prime factors of 20922 and 20938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20922 and 20938.

How to find the GCF of 20922 and 20938?

We will first find the prime factorization of 20922 and 20938. After we will calculate the factors of 20922 and 20938 and find the biggest common factor number .

Step-1: Prime Factorization of 20922

Prime factors of 20922 are 2, 3, 11, 317. Prime factorization of 20922 in exponential form is:

20922 = 2¹ × 3¹ × 11¹ × 317¹

Step-2: Prime Factorization of 20938

Prime factors of 20938 are 2, 19, 29. Prime factorization of 20938 in exponential form is:

20938 = 2¹ × 19² × 29¹

Step-3: Factors of 20922

List of positive integer factors of 20922 that divides 20922 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 317, 634, 951, 1902, 3487, 6974, 10461

Step-4: Factors of 20938

List of positive integer factors of 20938 that divides 20922 without a remainder.

1, 2, 19, 29, 38, 58, 361, 551, 722, 1102, 10469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20922 and 20938. The biggest common factor number is the GCF number.
So the greatest common factor 20922 and 20938 is 2.

Also check out the Least Common Multiple of 20922 and 20938