What is the Greatest Common Factor of 53325 and 53340?

Greatest common factor (GCF) of 53325 and 53340 is 15.

GCF(53325,53340) = 15

We will now calculate the prime factors of 53325 and 53340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53325 and 53340.

How to find the GCF of 53325 and 53340?

We will first find the prime factorization of 53325 and 53340. After we will calculate the factors of 53325 and 53340 and find the biggest common factor number .

Step-1: Prime Factorization of 53325

Prime factors of 53325 are 3, 5, 79. Prime factorization of 53325 in exponential form is:

53325 = 3³ × 5² × 79¹

Step-2: Prime Factorization of 53340

Prime factors of 53340 are 2, 3, 5, 7, 127. Prime factorization of 53340 in exponential form is:

53340 = 2² × 3¹ × 5¹ × 7¹ × 127¹

Step-3: Factors of 53325

List of positive integer factors of 53325 that divides 53325 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 79, 135, 225, 237, 395, 675, 711, 1185, 1975, 2133, 3555, 5925, 10665, 17775

Step-4: Factors of 53340

List of positive integer factors of 53340 that divides 53325 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 127, 140, 210, 254, 381, 420, 508, 635, 762, 889, 1270, 1524, 1778, 1905, 2540, 2667, 3556, 3810, 4445, 5334, 7620, 8890, 10668, 13335, 17780, 26670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53325 and 53340. The biggest common factor number is the GCF number.
So the greatest common factor 53325 and 53340 is 15.

Also check out the Least Common Multiple of 53325 and 53340