What is the Greatest Common Factor of 64311 and 64317?

Greatest common factor (GCF) of 64311 and 64317 is 3.

GCF(64311,64317) = 3

We will now calculate the prime factors of 64311 and 64317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64311 and 64317.

How to find the GCF of 64311 and 64317?

We will first find the prime factorization of 64311 and 64317. After we will calculate the factors of 64311 and 64317 and find the biggest common factor number .

Step-1: Prime Factorization of 64311

Prime factors of 64311 are 3, 13, 17, 97. Prime factorization of 64311 in exponential form is:

64311 = 3¹ × 13¹ × 17¹ × 97¹

Step-2: Prime Factorization of 64317

Prime factors of 64317 are 3, 11, 1949. Prime factorization of 64317 in exponential form is:

64317 = 3¹ × 11¹ × 1949¹

Step-3: Factors of 64311

List of positive integer factors of 64311 that divides 64311 without a remainder.

1, 3, 13, 17, 39, 51, 97, 221, 291, 663, 1261, 1649, 3783, 4947, 21437

Step-4: Factors of 64317

List of positive integer factors of 64317 that divides 64311 without a remainder.

1, 3, 11, 33, 1949, 5847, 21439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64311 and 64317. The biggest common factor number is the GCF number.
So the greatest common factor 64311 and 64317 is 3.

Also check out the Least Common Multiple of 64311 and 64317