What is the Greatest Common Factor of 52026 and 52039?

Greatest common factor (GCF) of 52026 and 52039 is 13.

GCF(52026,52039) = 13

We will now calculate the prime factors of 52026 and 52039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52026 and 52039.

How to find the GCF of 52026 and 52039?

We will first find the prime factorization of 52026 and 52039. After we will calculate the factors of 52026 and 52039 and find the biggest common factor number .

Step-1: Prime Factorization of 52026

Prime factors of 52026 are 2, 3, 13, 23, 29. Prime factorization of 52026 in exponential form is:

52026 = 2¹ × 3¹ × 13¹ × 23¹ × 29¹

Step-2: Prime Factorization of 52039

Prime factors of 52039 are 13, 4003. Prime factorization of 52039 in exponential form is:

52039 = 13¹ × 4003¹

Step-3: Factors of 52026

List of positive integer factors of 52026 that divides 52026 without a remainder.

1, 2, 3, 6, 13, 23, 26, 29, 39, 46, 58, 69, 78, 87, 138, 174, 299, 377, 598, 667, 754, 897, 1131, 1334, 1794, 2001, 2262, 4002, 8671, 17342, 26013

Step-4: Factors of 52039

List of positive integer factors of 52039 that divides 52026 without a remainder.

1, 13, 4003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52026 and 52039. The biggest common factor number is the GCF number.
So the greatest common factor 52026 and 52039 is 13.

Also check out the Least Common Multiple of 52026 and 52039