What is the Greatest Common Factor of 64350 and 64355?

Greatest common factor (GCF) of 64350 and 64355 is 5.

GCF(64350,64355) = 5

We will now calculate the prime factors of 64350 and 64355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64350 and 64355.

How to find the GCF of 64350 and 64355?

We will first find the prime factorization of 64350 and 64355. After we will calculate the factors of 64350 and 64355 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 64355

Prime factors of 64355 are 5, 61, 211. Prime factorization of 64355 in exponential form is:

64355 = 5¹ × 61¹ × 211¹

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 64355

List of positive integer factors of 64355 that divides 64350 without a remainder.

1, 5, 61, 211, 305, 1055, 12871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64350 and 64355. The biggest common factor number is the GCF number.
So the greatest common factor 64350 and 64355 is 5.

Also check out the Least Common Multiple of 64350 and 64355