What is the Greatest Common Factor of 64395 and 64402?

Greatest common factor (GCF) of 64395 and 64402 is 1.

GCF(64395,64402) = 1

We will now calculate the prime factors of 64395 and 64402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64395 and 64402.

How to find the GCF of 64395 and 64402?

We will first find the prime factorization of 64395 and 64402. After we will calculate the factors of 64395 and 64402 and find the biggest common factor number .

Step-1: Prime Factorization of 64395

Prime factors of 64395 are 3, 5, 53. Prime factorization of 64395 in exponential form is:

64395 = 3⁵ × 5¹ × 53¹

Step-2: Prime Factorization of 64402

Prime factors of 64402 are 2, 13, 2477. Prime factorization of 64402 in exponential form is:

64402 = 2¹ × 13¹ × 2477¹

Step-3: Factors of 64395

List of positive integer factors of 64395 that divides 64395 without a remainder.

1, 3, 5, 9, 15, 27, 45, 53, 81, 135, 159, 243, 265, 405, 477, 795, 1215, 1431, 2385, 4293, 7155, 12879, 21465

Step-4: Factors of 64402

List of positive integer factors of 64402 that divides 64395 without a remainder.

1, 2, 13, 26, 2477, 4954, 32201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64395 and 64402. The biggest common factor number is the GCF number.
So the greatest common factor 64395 and 64402 is 1.

Also check out the Least Common Multiple of 64395 and 64402