What is the Greatest Common Factor of 61311 and 61317?

Greatest common factor (GCF) of 61311 and 61317 is 3.

GCF(61311,61317) = 3

We will now calculate the prime factors of 61311 and 61317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61311 and 61317.

How to find the GCF of 61311 and 61317?

We will first find the prime factorization of 61311 and 61317. After we will calculate the factors of 61311 and 61317 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61317

Prime factors of 61317 are 3, 757. Prime factorization of 61317 in exponential form is:

61317 = 3⁴ × 757¹

Step-3: Factors of 61311

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

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

Step-4: Factors of 61317

List of positive integer factors of 61317 that divides 61311 without a remainder.

1, 3, 9, 27, 81, 757, 2271, 6813, 20439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61311 and 61317. The biggest common factor number is the GCF number.
So the greatest common factor 61311 and 61317 is 3.

Also check out the Least Common Multiple of 61311 and 61317