What is the Greatest Common Factor of 64347 and 64365?

Greatest common factor (GCF) of 64347 and 64365 is 3.

GCF(64347,64365) = 3

We will now calculate the prime factors of 64347 and 64365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64347 and 64365.

How to find the GCF of 64347 and 64365?

We will first find the prime factorization of 64347 and 64365. After we will calculate the factors of 64347 and 64365 and find the biggest common factor number .

Step-1: Prime Factorization of 64347

Prime factors of 64347 are 3, 89, 241. Prime factorization of 64347 in exponential form is:

64347 = 3¹ × 89¹ × 241¹

Step-2: 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-3: Factors of 64347

List of positive integer factors of 64347 that divides 64347 without a remainder.

1, 3, 89, 241, 267, 723, 21449

Step-4: Factors of 64365

List of positive integer factors of 64365 that divides 64347 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64347 and 64365. The biggest common factor number is the GCF number.
So the greatest common factor 64347 and 64365 is 3.

Also check out the Least Common Multiple of 64347 and 64365