What is the Greatest Common Factor of 52107 and 52125?

Greatest common factor (GCF) of 52107 and 52125 is 3.

GCF(52107,52125) = 3

We will now calculate the prime factors of 52107 and 52125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52107 and 52125.

How to find the GCF of 52107 and 52125?

We will first find the prime factorization of 52107 and 52125. After we will calculate the factors of 52107 and 52125 and find the biggest common factor number .

Step-1: Prime Factorization of 52107

Prime factors of 52107 are 3, 11, 1579. Prime factorization of 52107 in exponential form is:

52107 = 3¹ × 11¹ × 1579¹

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 52107

List of positive integer factors of 52107 that divides 52107 without a remainder.

1, 3, 11, 33, 1579, 4737, 17369

Step-4: Factors of 52125

List of positive integer factors of 52125 that divides 52107 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 52107 and 52125. The biggest common factor number is the GCF number.
So the greatest common factor 52107 and 52125 is 3.

Also check out the Least Common Multiple of 52107 and 52125