What is the Greatest Common Factor of 64317 and 64328?

Greatest common factor (GCF) of 64317 and 64328 is 11.

GCF(64317,64328) = 11

We will now calculate the prime factors of 64317 and 64328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64317 and 64328.

How to find the GCF of 64317 and 64328?

We will first find the prime factorization of 64317 and 64328. After we will calculate the factors of 64317 and 64328 and find the biggest common factor number .

Step-1: 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-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 64317

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

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

Step-4: Factors of 64328

List of positive integer factors of 64328 that divides 64317 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 64317 and 64328. The biggest common factor number is the GCF number.
So the greatest common factor 64317 and 64328 is 11.

Also check out the Least Common Multiple of 64317 and 64328