What is the Greatest Common Factor of 52038 and 52052?

Greatest common factor (GCF) of 52038 and 52052 is 14.

GCF(52038,52052) = 14

We will now calculate the prime factors of 52038 and 52052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52038 and 52052.

How to find the GCF of 52038 and 52052?

We will first find the prime factorization of 52038 and 52052. After we will calculate the factors of 52038 and 52052 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52052

Prime factors of 52052 are 2, 7, 11, 13. Prime factorization of 52052 in exponential form is:

52052 = 2² × 7¹ × 11¹ × 13²

Step-3: Factors of 52038

List of positive integer factors of 52038 that divides 52038 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

Step-4: Factors of 52052

List of positive integer factors of 52052 that divides 52038 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 169, 182, 286, 308, 338, 364, 572, 676, 1001, 1183, 1859, 2002, 2366, 3718, 4004, 4732, 7436, 13013, 26026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52038 and 52052. The biggest common factor number is the GCF number.
So the greatest common factor 52038 and 52052 is 14.

Also check out the Least Common Multiple of 52038 and 52052