What is the Greatest Common Factor of 22022 and 22033?

Greatest common factor (GCF) of 22022 and 22033 is 11.

GCF(22022,22033) = 11

We will now calculate the prime factors of 22022 and 22033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22022 and 22033.

How to find the GCF of 22022 and 22033?

We will first find the prime factorization of 22022 and 22033. After we will calculate the factors of 22022 and 22033 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 22033

Prime factors of 22033 are 11, 2003. Prime factorization of 22033 in exponential form is:

22033 = 11¹ × 2003¹

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 22033

List of positive integer factors of 22033 that divides 22022 without a remainder.

1, 11, 2003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22022 and 22033. The biggest common factor number is the GCF number.
So the greatest common factor 22022 and 22033 is 11.

Also check out the Least Common Multiple of 22022 and 22033