What is the Greatest Common Factor of 52022 and 52041?

Greatest common factor (GCF) of 52022 and 52041 is 19.

GCF(52022,52041) = 19

We will now calculate the prime factors of 52022 and 52041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52022 and 52041.

How to find the GCF of 52022 and 52041?

We will first find the prime factorization of 52022 and 52041. After we will calculate the factors of 52022 and 52041 and find the biggest common factor number .

Step-1: Prime Factorization of 52022

Prime factors of 52022 are 2, 19, 37. Prime factorization of 52022 in exponential form is:

52022 = 2¹ × 19¹ × 37²

Step-2: Prime Factorization of 52041

Prime factors of 52041 are 3, 11, 19, 83. Prime factorization of 52041 in exponential form is:

52041 = 3¹ × 11¹ × 19¹ × 83¹

Step-3: Factors of 52022

List of positive integer factors of 52022 that divides 52022 without a remainder.

1, 2, 19, 37, 38, 74, 703, 1369, 1406, 2738, 26011

Step-4: Factors of 52041

List of positive integer factors of 52041 that divides 52022 without a remainder.

1, 3, 11, 19, 33, 57, 83, 209, 249, 627, 913, 1577, 2739, 4731, 17347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52022 and 52041. The biggest common factor number is the GCF number.
So the greatest common factor 52022 and 52041 is 19.

Also check out the Least Common Multiple of 52022 and 52041