What is the Greatest Common Factor of 64340 and 64350?

Greatest common factor (GCF) of 64340 and 64350 is 10.

GCF(64340,64350) = 10

We will now calculate the prime factors of 64340 and 64350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64340 and 64350.

How to find the GCF of 64340 and 64350?

We will first find the prime factorization of 64340 and 64350. After we will calculate the factors of 64340 and 64350 and find the biggest common factor number .

Step-1: Prime Factorization of 64340

Prime factors of 64340 are 2, 5, 3217. Prime factorization of 64340 in exponential form is:

64340 = 2² × 5¹ × 3217¹

Step-2: 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-3: Factors of 64340

List of positive integer factors of 64340 that divides 64340 without a remainder.

1, 2, 4, 5, 10, 20, 3217, 6434, 12868, 16085, 32170

Step-4: Factors of 64350

List of positive integer factors of 64350 that divides 64340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64340 and 64350. The biggest common factor number is the GCF number.
So the greatest common factor 64340 and 64350 is 10.

Also check out the Least Common Multiple of 64340 and 64350