What is the Greatest Common Factor of 64350 and 64359?

Greatest common factor (GCF) of 64350 and 64359 is 9.

GCF(64350,64359) = 9

We will now calculate the prime factors of 64350 and 64359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64350 and 64359.

How to find the GCF of 64350 and 64359?

We will first find the prime factorization of 64350 and 64359. After we will calculate the factors of 64350 and 64359 and find the biggest common factor number .

Step-1: Prime Factorization of 64350

Prime factors of 64350 are 2, 3, 5, 11, 13. Prime factorization of 64350 in exponential form is:

64350 = 2¹ × 3² × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 64359

Prime factors of 64359 are 3, 7151. Prime factorization of 64359 in exponential form is:

64359 = 3² × 7151¹

Step-3: Factors of 64350

List of positive integer factors of 64350 that divides 64350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 25, 26, 30, 33, 39, 45, 50, 55, 65, 66, 75, 78, 90, 99, 110, 117, 130, 143, 150, 165, 195, 198, 225, 234, 275, 286, 325, 330, 390, 429, 450, 495, 550, 585, 650, 715, 825, 858, 975, 990, 1170, 1287, 1430, 1650, 1950, 2145, 2475, 2574, 2925, 3575, 4290, 4950, 5850, 6435, 7150, 10725, 12870, 21450, 32175

Step-4: Factors of 64359

List of positive integer factors of 64359 that divides 64350 without a remainder.

1, 3, 9, 7151, 21453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64350 and 64359. The biggest common factor number is the GCF number.
So the greatest common factor 64350 and 64359 is 9.

Also check out the Least Common Multiple of 64350 and 64359