What is the Greatest Common Factor of 52100 and 52110?

Greatest common factor (GCF) of 52100 and 52110 is 10.

GCF(52100,52110) = 10

We will now calculate the prime factors of 52100 and 52110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52100 and 52110.

How to find the GCF of 52100 and 52110?

We will first find the prime factorization of 52100 and 52110. After we will calculate the factors of 52100 and 52110 and find the biggest common factor number .

Step-1: Prime Factorization of 52100

Prime factors of 52100 are 2, 5, 521. Prime factorization of 52100 in exponential form is:

52100 = 2² × 5² × 521¹

Step-2: Prime Factorization of 52110

Prime factors of 52110 are 2, 3, 5, 193. Prime factorization of 52110 in exponential form is:

52110 = 2¹ × 3³ × 5¹ × 193¹

Step-3: Factors of 52100

List of positive integer factors of 52100 that divides 52100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 521, 1042, 2084, 2605, 5210, 10420, 13025, 26050

Step-4: Factors of 52110

List of positive integer factors of 52110 that divides 52100 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 193, 270, 386, 579, 965, 1158, 1737, 1930, 2895, 3474, 5211, 5790, 8685, 10422, 17370, 26055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52100 and 52110. The biggest common factor number is the GCF number.
So the greatest common factor 52100 and 52110 is 10.

Also check out the Least Common Multiple of 52100 and 52110