What is the Greatest Common Factor of 5022 and 5041?

Greatest common factor (GCF) of 5022 and 5041 is 1.

GCF(5022,5041) = 1

We will now calculate the prime factors of 5022 and 5041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5022 and 5041.

How to find the GCF of 5022 and 5041?

We will first find the prime factorization of 5022 and 5041. After we will calculate the factors of 5022 and 5041 and find the biggest common factor number .

Step-1: Prime Factorization of 5022

Prime factors of 5022 are 2, 3, 31. Prime factorization of 5022 in exponential form is:

5022 = 2¹ × 3⁴ × 31¹

Step-2: Prime Factorization of 5041

Prime factors of 5041 are 71. Prime factorization of 5041 in exponential form is:

5041 = 71²

Step-3: Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511

Step-4: Factors of 5041

List of positive integer factors of 5041 that divides 5022 without a remainder.

1, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5022 and 5041. The biggest common factor number is the GCF number.
So the greatest common factor 5022 and 5041 is 1.

Also check out the Least Common Multiple of 5022 and 5041