What is the Greatest Common Factor of 64347 and 64362?

Greatest common factor (GCF) of 64347 and 64362 is 3.

GCF(64347,64362) = 3

We will now calculate the prime factors of 64347 and 64362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64347 and 64362.

How to find the GCF of 64347 and 64362?

We will first find the prime factorization of 64347 and 64362. After we will calculate the factors of 64347 and 64362 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 64362

Prime factors of 64362 are 2, 3, 17, 631. Prime factorization of 64362 in exponential form is:

64362 = 2¹ × 3¹ × 17¹ × 631¹

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 64362

List of positive integer factors of 64362 that divides 64347 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 631, 1262, 1893, 3786, 10727, 21454, 32181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64347 and 64362. The biggest common factor number is the GCF number.
So the greatest common factor 64347 and 64362 is 3.

Also check out the Least Common Multiple of 64347 and 64362