What is the Greatest Common Factor of 52275 and 52280?

Greatest common factor (GCF) of 52275 and 52280 is 5.

GCF(52275,52280) = 5

We will now calculate the prime factors of 52275 and 52280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52275 and 52280.

How to find the GCF of 52275 and 52280?

We will first find the prime factorization of 52275 and 52280. After we will calculate the factors of 52275 and 52280 and find the biggest common factor number .

Step-1: Prime Factorization of 52275

Prime factors of 52275 are 3, 5, 17, 41. Prime factorization of 52275 in exponential form is:

52275 = 3¹ × 5² × 17¹ × 41¹

Step-2: Prime Factorization of 52280

Prime factors of 52280 are 2, 5, 1307. Prime factorization of 52280 in exponential form is:

52280 = 2³ × 5¹ × 1307¹

Step-3: Factors of 52275

List of positive integer factors of 52275 that divides 52275 without a remainder.

1, 3, 5, 15, 17, 25, 41, 51, 75, 85, 123, 205, 255, 425, 615, 697, 1025, 1275, 2091, 3075, 3485, 10455, 17425

Step-4: Factors of 52280

List of positive integer factors of 52280 that divides 52275 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1307, 2614, 5228, 6535, 10456, 13070, 26140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52275 and 52280. The biggest common factor number is the GCF number.
So the greatest common factor 52275 and 52280 is 5.

Also check out the Least Common Multiple of 52275 and 52280