What is the Greatest Common Factor of 64365 and 64370?

Greatest common factor (GCF) of 64365 and 64370 is 5.

GCF(64365,64370) = 5

We will now calculate the prime factors of 64365 and 64370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64365 and 64370.

How to find the GCF of 64365 and 64370?

We will first find the prime factorization of 64365 and 64370. After we will calculate the factors of 64365 and 64370 and find the biggest common factor number .

Step-1: Prime Factorization of 64365

Prime factors of 64365 are 3, 5, 7, 613. Prime factorization of 64365 in exponential form is:

64365 = 3¹ × 5¹ × 7¹ × 613¹

Step-2: Prime Factorization of 64370

Prime factors of 64370 are 2, 5, 41, 157. Prime factorization of 64370 in exponential form is:

64370 = 2¹ × 5¹ × 41¹ × 157¹

Step-3: Factors of 64365

List of positive integer factors of 64365 that divides 64365 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 613, 1839, 3065, 4291, 9195, 12873, 21455

Step-4: Factors of 64370

List of positive integer factors of 64370 that divides 64365 without a remainder.

1, 2, 5, 10, 41, 82, 157, 205, 314, 410, 785, 1570, 6437, 12874, 32185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64365 and 64370. The biggest common factor number is the GCF number.
So the greatest common factor 64365 and 64370 is 5.

Also check out the Least Common Multiple of 64365 and 64370