What is the Greatest Common Factor of 52598 and 52612?

Greatest common factor (GCF) of 52598 and 52612 is 14.

GCF(52598,52612) = 14

We will now calculate the prime factors of 52598 and 52612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52598 and 52612.

How to find the GCF of 52598 and 52612?

We will first find the prime factorization of 52598 and 52612. After we will calculate the factors of 52598 and 52612 and find the biggest common factor number .

Step-1: Prime Factorization of 52598

Prime factors of 52598 are 2, 7, 13, 17. Prime factorization of 52598 in exponential form is:

52598 = 2¹ × 7¹ × 13¹ × 17²

Step-2: Prime Factorization of 52612

Prime factors of 52612 are 2, 7, 1879. Prime factorization of 52612 in exponential form is:

52612 = 2² × 7¹ × 1879¹

Step-3: Factors of 52598

List of positive integer factors of 52598 that divides 52598 without a remainder.

1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 289, 442, 578, 1547, 2023, 3094, 3757, 4046, 7514, 26299

Step-4: Factors of 52612

List of positive integer factors of 52612 that divides 52598 without a remainder.

1, 2, 4, 7, 14, 28, 1879, 3758, 7516, 13153, 26306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52598 and 52612. The biggest common factor number is the GCF number.
So the greatest common factor 52598 and 52612 is 14.

Also check out the Least Common Multiple of 52598 and 52612