What is the Greatest Common Factor of 22022 and 22041?

Greatest common factor (GCF) of 22022 and 22041 is 1.

GCF(22022,22041) = 1

We will now calculate the prime factors of 22022 and 22041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22022 and 22041.

How to find the GCF of 22022 and 22041?

We will first find the prime factorization of 22022 and 22041. After we will calculate the factors of 22022 and 22041 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 22041

Prime factors of 22041 are 3, 31, 79. Prime factorization of 22041 in exponential form is:

22041 = 3² × 31¹ × 79¹

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 22041

List of positive integer factors of 22041 that divides 22022 without a remainder.

1, 3, 9, 31, 79, 93, 237, 279, 711, 2449, 7347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22022 and 22041. The biggest common factor number is the GCF number.
So the greatest common factor 22022 and 22041 is 1.

Also check out the Least Common Multiple of 22022 and 22041