What is the Greatest Common Factor of 61296 and 61311?

Greatest common factor (GCF) of 61296 and 61311 is 3.

GCF(61296,61311) = 3

We will now calculate the prime factors of 61296 and 61311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61296 and 61311.

How to find the GCF of 61296 and 61311?

We will first find the prime factorization of 61296 and 61311. After we will calculate the factors of 61296 and 61311 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61311

Prime factors of 61311 are 3, 107, 191. Prime factorization of 61311 in exponential form is:

61311 = 3¹ × 107¹ × 191¹

Step-3: Factors of 61296

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

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

Step-4: Factors of 61311

List of positive integer factors of 61311 that divides 61296 without a remainder.

1, 3, 107, 191, 321, 573, 20437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61296 and 61311. The biggest common factor number is the GCF number.
So the greatest common factor 61296 and 61311 is 3.

Also check out the Least Common Multiple of 61296 and 61311