What is the Greatest Common Factor of 52380 and 52395?

Greatest common factor (GCF) of 52380 and 52395 is 15.

GCF(52380,52395) = 15

We will now calculate the prime factors of 52380 and 52395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52380 and 52395.

How to find the GCF of 52380 and 52395?

We will first find the prime factorization of 52380 and 52395. After we will calculate the factors of 52380 and 52395 and find the biggest common factor number .

Step-1: Prime Factorization of 52380

Prime factors of 52380 are 2, 3, 5, 97. Prime factorization of 52380 in exponential form is:

52380 = 2² × 3³ × 5¹ × 97¹

Step-2: Prime Factorization of 52395

Prime factors of 52395 are 3, 5, 7, 499. Prime factorization of 52395 in exponential form is:

52395 = 3¹ × 5¹ × 7¹ × 499¹

Step-3: Factors of 52380

List of positive integer factors of 52380 that divides 52380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 97, 108, 135, 180, 194, 270, 291, 388, 485, 540, 582, 873, 970, 1164, 1455, 1746, 1940, 2619, 2910, 3492, 4365, 5238, 5820, 8730, 10476, 13095, 17460, 26190

Step-4: Factors of 52395

List of positive integer factors of 52395 that divides 52380 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 499, 1497, 2495, 3493, 7485, 10479, 17465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52380 and 52395. The biggest common factor number is the GCF number.
So the greatest common factor 52380 and 52395 is 15.

Also check out the Least Common Multiple of 52380 and 52395