What is the Greatest Common Factor of 64305 and 64314?

Greatest common factor (GCF) of 64305 and 64314 is 9.

GCF(64305,64314) = 9

We will now calculate the prime factors of 64305 and 64314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64305 and 64314.

How to find the GCF of 64305 and 64314?

We will first find the prime factorization of 64305 and 64314. After we will calculate the factors of 64305 and 64314 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 64314

Prime factors of 64314 are 2, 3, 397. Prime factorization of 64314 in exponential form is:

64314 = 2¹ × 3⁴ × 397¹

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 64314

List of positive integer factors of 64314 that divides 64305 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 397, 794, 1191, 2382, 3573, 7146, 10719, 21438, 32157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64305 and 64314. The biggest common factor number is the GCF number.
So the greatest common factor 64305 and 64314 is 9.

Also check out the Least Common Multiple of 64305 and 64314