What is the Greatest Common Factor of 64365 and 64374?

Greatest common factor (GCF) of 64365 and 64374 is 3.

GCF(64365,64374) = 3

We will now calculate the prime factors of 64365 and 64374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64365 and 64374.

How to find the GCF of 64365 and 64374?

We will first find the prime factorization of 64365 and 64374. After we will calculate the factors of 64365 and 64374 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 64374

Prime factors of 64374 are 2, 3, 10729. Prime factorization of 64374 in exponential form is:

64374 = 2¹ × 3¹ × 10729¹

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 64374

List of positive integer factors of 64374 that divides 64365 without a remainder.

1, 2, 3, 6, 10729, 21458, 32187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64365 and 64374. The biggest common factor number is the GCF number.
So the greatest common factor 64365 and 64374 is 3.

Also check out the Least Common Multiple of 64365 and 64374