What is the Greatest Common Factor of 52365 and 52380?

Greatest common factor (GCF) of 52365 and 52380 is 15.

GCF(52365,52380) = 15

We will now calculate the prime factors of 52365 and 52380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52365 and 52380.

How to find the GCF of 52365 and 52380?

We will first find the prime factorization of 52365 and 52380. After we will calculate the factors of 52365 and 52380 and find the biggest common factor number .

Step-1: Prime Factorization of 52365

Prime factors of 52365 are 3, 5, 3491. Prime factorization of 52365 in exponential form is:

52365 = 3¹ × 5¹ × 3491¹

Step-2: 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-3: Factors of 52365

List of positive integer factors of 52365 that divides 52365 without a remainder.

1, 3, 5, 15, 3491, 10473, 17455

Step-4: Factors of 52380

List of positive integer factors of 52380 that divides 52365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52365 and 52380. The biggest common factor number is the GCF number.
So the greatest common factor 52365 and 52380 is 15.

Also check out the Least Common Multiple of 52365 and 52380