What is the Greatest Common Factor of 64311 and 64324?

Greatest common factor (GCF) of 64311 and 64324 is 13.

GCF(64311,64324) = 13

We will now calculate the prime factors of 64311 and 64324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64311 and 64324.

How to find the GCF of 64311 and 64324?

We will first find the prime factorization of 64311 and 64324. After we will calculate the factors of 64311 and 64324 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 64324

Prime factors of 64324 are 2, 13, 1237. Prime factorization of 64324 in exponential form is:

64324 = 2² × 13¹ × 1237¹

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 64324

List of positive integer factors of 64324 that divides 64311 without a remainder.

1, 2, 4, 13, 26, 52, 1237, 2474, 4948, 16081, 32162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64311 and 64324. The biggest common factor number is the GCF number.
So the greatest common factor 64311 and 64324 is 13.

Also check out the Least Common Multiple of 64311 and 64324