What is the Greatest Common Factor of 52125 and 52140?

Greatest common factor (GCF) of 52125 and 52140 is 15.

GCF(52125,52140) = 15

We will now calculate the prime factors of 52125 and 52140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52125 and 52140.

How to find the GCF of 52125 and 52140?

We will first find the prime factorization of 52125 and 52140. After we will calculate the factors of 52125 and 52140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52140

Prime factors of 52140 are 2, 3, 5, 11, 79. Prime factorization of 52140 in exponential form is:

52140 = 2² × 3¹ × 5¹ × 11¹ × 79¹

Step-3: Factors of 52125

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

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

Step-4: Factors of 52140

List of positive integer factors of 52140 that divides 52125 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 79, 110, 132, 158, 165, 220, 237, 316, 330, 395, 474, 660, 790, 869, 948, 1185, 1580, 1738, 2370, 2607, 3476, 4345, 4740, 5214, 8690, 10428, 13035, 17380, 26070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52125 and 52140. The biggest common factor number is the GCF number.
So the greatest common factor 52125 and 52140 is 15.

Also check out the Least Common Multiple of 52125 and 52140