What is the Greatest Common Factor of 52116 and 52125?

Greatest common factor (GCF) of 52116 and 52125 is 3.

GCF(52116,52125) = 3

We will now calculate the prime factors of 52116 and 52125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52116 and 52125.

How to find the GCF of 52116 and 52125?

We will first find the prime factorization of 52116 and 52125. After we will calculate the factors of 52116 and 52125 and find the biggest common factor number .

Step-1: Prime Factorization of 52116

Prime factors of 52116 are 2, 3, 43, 101. Prime factorization of 52116 in exponential form is:

52116 = 2² × 3¹ × 43¹ × 101¹

Step-2: Prime Factorization of 52125

Prime factors of 52125 are 3, 5, 139. Prime factorization of 52125 in exponential form is:

52125 = 3¹ × 5³ × 139¹

Step-3: Factors of 52116

List of positive integer factors of 52116 that divides 52116 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 101, 129, 172, 202, 258, 303, 404, 516, 606, 1212, 4343, 8686, 13029, 17372, 26058

Step-4: Factors of 52125

List of positive integer factors of 52125 that divides 52116 without a remainder.

1, 3, 5, 15, 25, 75, 125, 139, 375, 417, 695, 2085, 3475, 10425, 17375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52116 and 52125. The biggest common factor number is the GCF number.
So the greatest common factor 52116 and 52125 is 3.

Also check out the Least Common Multiple of 52116 and 52125