What is the Greatest Common Factor of 61260 and 61275?

Greatest common factor (GCF) of 61260 and 61275 is 15.

GCF(61260,61275) = 15

We will now calculate the prime factors of 61260 and 61275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61260 and 61275.

How to find the GCF of 61260 and 61275?

We will first find the prime factorization of 61260 and 61275. After we will calculate the factors of 61260 and 61275 and find the biggest common factor number .

Step-1: Prime Factorization of 61260

Prime factors of 61260 are 2, 3, 5, 1021. Prime factorization of 61260 in exponential form is:

61260 = 2² × 3¹ × 5¹ × 1021¹

Step-2: Prime Factorization of 61275

Prime factors of 61275 are 3, 5, 19, 43. Prime factorization of 61275 in exponential form is:

61275 = 3¹ × 5² × 19¹ × 43¹

Step-3: Factors of 61260

List of positive integer factors of 61260 that divides 61260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1021, 2042, 3063, 4084, 5105, 6126, 10210, 12252, 15315, 20420, 30630

Step-4: Factors of 61275

List of positive integer factors of 61275 that divides 61260 without a remainder.

1, 3, 5, 15, 19, 25, 43, 57, 75, 95, 129, 215, 285, 475, 645, 817, 1075, 1425, 2451, 3225, 4085, 12255, 20425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61260 and 61275. The biggest common factor number is the GCF number.
So the greatest common factor 61260 and 61275 is 15.

Also check out the Least Common Multiple of 61260 and 61275