What is the Greatest Common Factor of 64350 and 64367?

Greatest common factor (GCF) of 64350 and 64367 is 1.

GCF(64350,64367) = 1

We will now calculate the prime factors of 64350 and 64367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64350 and 64367.

How to find the GCF of 64350 and 64367?

We will first find the prime factorization of 64350 and 64367. After we will calculate the factors of 64350 and 64367 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 64367

Prime factors of 64367 are 191, 337. Prime factorization of 64367 in exponential form is:

64367 = 191¹ × 337¹

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 64367

List of positive integer factors of 64367 that divides 64350 without a remainder.

1, 191, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64350 and 64367. The biggest common factor number is the GCF number.
So the greatest common factor 64350 and 64367 is 1.

Also check out the Least Common Multiple of 64350 and 64367