What is the Greatest Common Factor of 64341 and 64347?

Greatest common factor (GCF) of 64341 and 64347 is 3.

GCF(64341,64347) = 3

We will now calculate the prime factors of 64341 and 64347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64341 and 64347.

How to find the GCF of 64341 and 64347?

We will first find the prime factorization of 64341 and 64347. After we will calculate the factors of 64341 and 64347 and find the biggest common factor number .

Step-1: Prime Factorization of 64341

Prime factors of 64341 are 3, 2383. Prime factorization of 64341 in exponential form is:

64341 = 3³ × 2383¹

Step-2: 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-3: Factors of 64341

List of positive integer factors of 64341 that divides 64341 without a remainder.

1, 3, 9, 27, 2383, 7149, 21447

Step-4: Factors of 64347

List of positive integer factors of 64347 that divides 64341 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64341 and 64347. The biggest common factor number is the GCF number.
So the greatest common factor 64341 and 64347 is 3.

Also check out the Least Common Multiple of 64341 and 64347