What is the Greatest Common Factor of 64314 and 64324?

Greatest common factor (GCF) of 64314 and 64324 is 2.

GCF(64314,64324) = 2

We will now calculate the prime factors of 64314 and 64324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64314 and 64324.

How to find the GCF of 64314 and 64324?

We will first find the prime factorization of 64314 and 64324. After we will calculate the factors of 64314 and 64324 and find the biggest common factor number .

Step-1: Prime Factorization of 64314

Prime factors of 64314 are 2, 3, 397. Prime factorization of 64314 in exponential form is:

64314 = 2¹ × 3⁴ × 397¹

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 64314

List of positive integer factors of 64314 that divides 64314 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 397, 794, 1191, 2382, 3573, 7146, 10719, 21438, 32157

Step-4: Factors of 64324

List of positive integer factors of 64324 that divides 64314 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 64314 and 64324. The biggest common factor number is the GCF number.
So the greatest common factor 64314 and 64324 is 2.

Also check out the Least Common Multiple of 64314 and 64324