What is the Greatest Common Factor of 64350 and 64356?

Greatest common factor (GCF) of 64350 and 64356 is 6.

GCF(64350,64356) = 6

We will now calculate the prime factors of 64350 and 64356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64350 and 64356.

How to find the GCF of 64350 and 64356?

We will first find the prime factorization of 64350 and 64356. After we will calculate the factors of 64350 and 64356 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 64356

Prime factors of 64356 are 2, 3, 31, 173. Prime factorization of 64356 in exponential form is:

64356 = 2² × 3¹ × 31¹ × 173¹

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 64356

List of positive integer factors of 64356 that divides 64350 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 173, 186, 346, 372, 519, 692, 1038, 2076, 5363, 10726, 16089, 21452, 32178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64350 and 64356. The biggest common factor number is the GCF number.
So the greatest common factor 64350 and 64356 is 6.

Also check out the Least Common Multiple of 64350 and 64356