What is the Greatest Common Factor of 52120 and 52125?

Greatest common factor (GCF) of 52120 and 52125 is 5.

GCF(52120,52125) = 5

We will now calculate the prime factors of 52120 and 52125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52120 and 52125.

How to find the GCF of 52120 and 52125?

We will first find the prime factorization of 52120 and 52125. After we will calculate the factors of 52120 and 52125 and find the biggest common factor number .

Step-1: Prime Factorization of 52120

Prime factors of 52120 are 2, 5, 1303. Prime factorization of 52120 in exponential form is:

52120 = 2³ × 5¹ × 1303¹

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 52120

List of positive integer factors of 52120 that divides 52120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1303, 2606, 5212, 6515, 10424, 13030, 26060

Step-4: Factors of 52125

List of positive integer factors of 52125 that divides 52120 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 52120 and 52125. The biggest common factor number is the GCF number.
So the greatest common factor 52120 and 52125 is 5.

Also check out the Least Common Multiple of 52120 and 52125