What is the Greatest Common Factor of 52380 and 52385?

Greatest common factor (GCF) of 52380 and 52385 is 5.

GCF(52380,52385) = 5

We will now calculate the prime factors of 52380 and 52385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52380 and 52385.

How to find the GCF of 52380 and 52385?

We will first find the prime factorization of 52380 and 52385. After we will calculate the factors of 52380 and 52385 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 52385

Prime factors of 52385 are 5, 10477. Prime factorization of 52385 in exponential form is:

52385 = 5¹ × 10477¹

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 52385

List of positive integer factors of 52385 that divides 52380 without a remainder.

1, 5, 10477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52380 and 52385. The biggest common factor number is the GCF number.
So the greatest common factor 52380 and 52385 is 5.

Also check out the Least Common Multiple of 52380 and 52385