What is the Greatest Common Factor of 64305 and 64321?

Greatest common factor (GCF) of 64305 and 64321 is 1.

GCF(64305,64321) = 1

We will now calculate the prime factors of 64305 and 64321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64305 and 64321.

How to find the GCF of 64305 and 64321?

We will first find the prime factorization of 64305 and 64321. After we will calculate the factors of 64305 and 64321 and find the biggest common factor number .

Step-1: Prime Factorization of 64305

Prime factors of 64305 are 3, 5, 1429. Prime factorization of 64305 in exponential form is:

64305 = 3² × 5¹ × 1429¹

Step-2: Prime Factorization of 64321

Prime factors of 64321 are 131, 491. Prime factorization of 64321 in exponential form is:

64321 = 131¹ × 491¹

Step-3: Factors of 64305

List of positive integer factors of 64305 that divides 64305 without a remainder.

1, 3, 5, 9, 15, 45, 1429, 4287, 7145, 12861, 21435

Step-4: Factors of 64321

List of positive integer factors of 64321 that divides 64305 without a remainder.

1, 131, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64305 and 64321. The biggest common factor number is the GCF number.
So the greatest common factor 64305 and 64321 is 1.

Also check out the Least Common Multiple of 64305 and 64321