What is the Greatest Common Factor of 64314 and 64328?

Greatest common factor (GCF) of 64314 and 64328 is 2.

GCF(64314,64328) = 2

We will now calculate the prime factors of 64314 and 64328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64314 and 64328.

How to find the GCF of 64314 and 64328?

We will first find the prime factorization of 64314 and 64328. After we will calculate the factors of 64314 and 64328 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 64328

Prime factors of 64328 are 2, 11, 17, 43. Prime factorization of 64328 in exponential form is:

64328 = 2³ × 11¹ × 17¹ × 43¹

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 64328

List of positive integer factors of 64328 that divides 64314 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 43, 44, 68, 86, 88, 136, 172, 187, 344, 374, 473, 731, 748, 946, 1462, 1496, 1892, 2924, 3784, 5848, 8041, 16082, 32164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64314 and 64328. The biggest common factor number is the GCF number.
So the greatest common factor 64314 and 64328 is 2.

Also check out the Least Common Multiple of 64314 and 64328