What is the Greatest Common Factor of 22006 and 22022?

Greatest common factor (GCF) of 22006 and 22022 is 2.

GCF(22006,22022) = 2

We will now calculate the prime factors of 22006 and 22022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22006 and 22022.

How to find the GCF of 22006 and 22022?

We will first find the prime factorization of 22006 and 22022. After we will calculate the factors of 22006 and 22022 and find the biggest common factor number .

Step-1: Prime Factorization of 22006

Prime factors of 22006 are 2, 11003. Prime factorization of 22006 in exponential form is:

22006 = 2¹ × 11003¹

Step-2: Prime Factorization of 22022

Prime factors of 22022 are 2, 7, 11, 13. Prime factorization of 22022 in exponential form is:

22022 = 2¹ × 7¹ × 11² × 13¹

Step-3: Factors of 22006

List of positive integer factors of 22006 that divides 22006 without a remainder.

1, 2, 11003

Step-4: Factors of 22022

List of positive integer factors of 22022 that divides 22006 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 121, 143, 154, 182, 242, 286, 847, 1001, 1573, 1694, 2002, 3146, 11011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22006 and 22022. The biggest common factor number is the GCF number.
So the greatest common factor 22006 and 22022 is 2.

Also check out the Least Common Multiple of 22006 and 22022