What is the Greatest Common Factor of 52900 and 52918?

Greatest common factor (GCF) of 52900 and 52918 is 2.

GCF(52900,52918) = 2

We will now calculate the prime factors of 52900 and 52918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52900 and 52918.

How to find the GCF of 52900 and 52918?

We will first find the prime factorization of 52900 and 52918. After we will calculate the factors of 52900 and 52918 and find the biggest common factor number .

Step-1: Prime Factorization of 52900

Prime factors of 52900 are 2, 5, 23. Prime factorization of 52900 in exponential form is:

52900 = 2² × 5² × 23²

Step-2: Prime Factorization of 52918

Prime factors of 52918 are 2, 26459. Prime factorization of 52918 in exponential form is:

52918 = 2¹ × 26459¹

Step-3: Factors of 52900

List of positive integer factors of 52900 that divides 52900 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 529, 575, 1058, 1150, 2116, 2300, 2645, 5290, 10580, 13225, 26450

Step-4: Factors of 52918

List of positive integer factors of 52918 that divides 52900 without a remainder.

1, 2, 26459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52900 and 52918. The biggest common factor number is the GCF number.
So the greatest common factor 52900 and 52918 is 2.

Also check out the Least Common Multiple of 52900 and 52918