What is the Greatest Common Factor of 52590 and 52598?

Greatest common factor (GCF) of 52590 and 52598 is 2.

GCF(52590,52598) = 2

We will now calculate the prime factors of 52590 and 52598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52590 and 52598.

How to find the GCF of 52590 and 52598?

We will first find the prime factorization of 52590 and 52598. After we will calculate the factors of 52590 and 52598 and find the biggest common factor number .

Step-1: Prime Factorization of 52590

Prime factors of 52590 are 2, 3, 5, 1753. Prime factorization of 52590 in exponential form is:

52590 = 2¹ × 3¹ × 5¹ × 1753¹

Step-2: 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-3: Factors of 52590

List of positive integer factors of 52590 that divides 52590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1753, 3506, 5259, 8765, 10518, 17530, 26295

Step-4: Factors of 52598

List of positive integer factors of 52598 that divides 52590 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52590 and 52598. The biggest common factor number is the GCF number.
So the greatest common factor 52590 and 52598 is 2.

Also check out the Least Common Multiple of 52590 and 52598