What is the Greatest Common Factor of 20906 and 20922?

Greatest common factor (GCF) of 20906 and 20922 is 2.

GCF(20906,20922) = 2

We will now calculate the prime factors of 20906 and 20922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20906 and 20922.

How to find the GCF of 20906 and 20922?

We will first find the prime factorization of 20906 and 20922. After we will calculate the factors of 20906 and 20922 and find the biggest common factor number .

Step-1: Prime Factorization of 20906

Prime factors of 20906 are 2, 10453. Prime factorization of 20906 in exponential form is:

20906 = 2¹ × 10453¹

Step-2: 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-3: Factors of 20906

List of positive integer factors of 20906 that divides 20906 without a remainder.

1, 2, 10453

Step-4: Factors of 20922

List of positive integer factors of 20922 that divides 20906 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20906 and 20922. The biggest common factor number is the GCF number.
So the greatest common factor 20906 and 20922 is 2.

Also check out the Least Common Multiple of 20906 and 20922