What is the Greatest Common Factor of 22022 and 22036?

Greatest common factor (GCF) of 22022 and 22036 is 14.

GCF(22022,22036) = 14

We will now calculate the prime factors of 22022 and 22036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22022 and 22036.

How to find the GCF of 22022 and 22036?

We will first find the prime factorization of 22022 and 22036. After we will calculate the factors of 22022 and 22036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22036

Prime factors of 22036 are 2, 7, 787. Prime factorization of 22036 in exponential form is:

22036 = 2² × 7¹ × 787¹

Step-3: Factors of 22022

List of positive integer factors of 22022 that divides 22022 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

Step-4: Factors of 22036

List of positive integer factors of 22036 that divides 22022 without a remainder.

1, 2, 4, 7, 14, 28, 787, 1574, 3148, 5509, 11018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22022 and 22036. The biggest common factor number is the GCF number.
So the greatest common factor 22022 and 22036 is 14.

Also check out the Least Common Multiple of 22022 and 22036