What is the Greatest Common Factor of 64305 and 64311?

Greatest common factor (GCF) of 64305 and 64311 is 3.

GCF(64305,64311) = 3

We will now calculate the prime factors of 64305 and 64311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64305 and 64311.

How to find the GCF of 64305 and 64311?

We will first find the prime factorization of 64305 and 64311. After we will calculate the factors of 64305 and 64311 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 64311

Prime factors of 64311 are 3, 13, 17, 97. Prime factorization of 64311 in exponential form is:

64311 = 3¹ × 13¹ × 17¹ × 97¹

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 64311

List of positive integer factors of 64311 that divides 64305 without a remainder.

1, 3, 13, 17, 39, 51, 97, 221, 291, 663, 1261, 1649, 3783, 4947, 21437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64305 and 64311. The biggest common factor number is the GCF number.
So the greatest common factor 64305 and 64311 is 3.

Also check out the Least Common Multiple of 64305 and 64311