What is the Greatest Common Factor of 52038 and 52049?

Greatest common factor (GCF) of 52038 and 52049 is 1.

GCF(52038,52049) = 1

We will now calculate the prime factors of 52038 and 52049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52038 and 52049.

How to find the GCF of 52038 and 52049?

We will first find the prime factorization of 52038 and 52049. After we will calculate the factors of 52038 and 52049 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 52049

Prime factors of 52049 are 23, 31, 73. Prime factorization of 52049 in exponential form is:

52049 = 23¹ × 31¹ × 73¹

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 52049

List of positive integer factors of 52049 that divides 52038 without a remainder.

1, 23, 31, 73, 713, 1679, 2263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52038 and 52049. The biggest common factor number is the GCF number.
So the greatest common factor 52038 and 52049 is 1.

Also check out the Least Common Multiple of 52038 and 52049