What is the Greatest Common Factor of 52900 and 52910?

Greatest common factor (GCF) of 52900 and 52910 is 10.

GCF(52900,52910) = 10

We will now calculate the prime factors of 52900 and 52910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52900 and 52910.

How to find the GCF of 52900 and 52910?

We will first find the prime factorization of 52900 and 52910. After we will calculate the factors of 52900 and 52910 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 52910

Prime factors of 52910 are 2, 5, 11, 13, 37. Prime factorization of 52910 in exponential form is:

52910 = 2¹ × 5¹ × 11¹ × 13¹ × 37¹

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 52910

List of positive integer factors of 52910 that divides 52900 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 37, 55, 65, 74, 110, 130, 143, 185, 286, 370, 407, 481, 715, 814, 962, 1430, 2035, 2405, 4070, 4810, 5291, 10582, 26455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52900 and 52910. The biggest common factor number is the GCF number.
So the greatest common factor 52900 and 52910 is 10.

Also check out the Least Common Multiple of 52900 and 52910