What is the Greatest Common Factor of 61275 and 61281?

Greatest common factor (GCF) of 61275 and 61281 is 3.

GCF(61275,61281) = 3

We will now calculate the prime factors of 61275 and 61281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61275 and 61281.

How to find the GCF of 61275 and 61281?

We will first find the prime factorization of 61275 and 61281. After we will calculate the factors of 61275 and 61281 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61281

Prime factors of 61281 are 3, 11, 619. Prime factorization of 61281 in exponential form is:

61281 = 3² × 11¹ × 619¹

Step-3: Factors of 61275

List of positive integer factors of 61275 that divides 61275 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

Step-4: Factors of 61281

List of positive integer factors of 61281 that divides 61275 without a remainder.

1, 3, 9, 11, 33, 99, 619, 1857, 5571, 6809, 20427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61275 and 61281. The biggest common factor number is the GCF number.
So the greatest common factor 61275 and 61281 is 3.

Also check out the Least Common Multiple of 61275 and 61281