What is the Greatest Common Factor of 52013 and 52026?

Greatest common factor (GCF) of 52013 and 52026 is 13.

GCF(52013,52026) = 13

We will now calculate the prime factors of 52013 and 52026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52013 and 52026.

How to find the GCF of 52013 and 52026?

We will first find the prime factorization of 52013 and 52026. After we will calculate the factors of 52013 and 52026 and find the biggest common factor number .

Step-1: Prime Factorization of 52013

Prime factors of 52013 are 13, 4001. Prime factorization of 52013 in exponential form is:

52013 = 13¹ × 4001¹

Step-2: 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-3: Factors of 52013

List of positive integer factors of 52013 that divides 52013 without a remainder.

1, 13, 4001

Step-4: Factors of 52026

List of positive integer factors of 52026 that divides 52013 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52013 and 52026. The biggest common factor number is the GCF number.
So the greatest common factor 52013 and 52026 is 13.

Also check out the Least Common Multiple of 52013 and 52026