What is the Greatest Common Factor of 61281 and 61296?

Greatest common factor (GCF) of 61281 and 61296 is 3.

GCF(61281,61296) = 3

We will now calculate the prime factors of 61281 and 61296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61281 and 61296.

How to find the GCF of 61281 and 61296?

We will first find the prime factorization of 61281 and 61296. After we will calculate the factors of 61281 and 61296 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61296

Prime factors of 61296 are 2, 3, 1277. Prime factorization of 61296 in exponential form is:

61296 = 2⁴ × 3¹ × 1277¹

Step-3: Factors of 61281

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

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

Step-4: Factors of 61296

List of positive integer factors of 61296 that divides 61281 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1277, 2554, 3831, 5108, 7662, 10216, 15324, 20432, 30648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61281 and 61296. The biggest common factor number is the GCF number.
So the greatest common factor 61281 and 61296 is 3.

Also check out the Least Common Multiple of 61281 and 61296