What is the Greatest Common Factor of 52022 and 52038?

Greatest common factor (GCF) of 52022 and 52038 is 2.

GCF(52022,52038) = 2

We will now calculate the prime factors of 52022 and 52038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52022 and 52038.

How to find the GCF of 52022 and 52038?

We will first find the prime factorization of 52022 and 52038. After we will calculate the factors of 52022 and 52038 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 52038

Prime factors of 52038 are 2, 3, 7, 59. Prime factorization of 52038 in exponential form is:

52038 = 2¹ × 3² × 7² × 59¹

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 52038

List of positive integer factors of 52038 that divides 52022 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 59, 63, 98, 118, 126, 147, 177, 294, 354, 413, 441, 531, 826, 882, 1062, 1239, 2478, 2891, 3717, 5782, 7434, 8673, 17346, 26019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52022 and 52038. The biggest common factor number is the GCF number.
So the greatest common factor 52022 and 52038 is 2.

Also check out the Least Common Multiple of 52022 and 52038