What is the Greatest Common Factor of 64293 and 64305?

Greatest common factor (GCF) of 64293 and 64305 is 3.

GCF(64293,64305) = 3

We will now calculate the prime factors of 64293 and 64305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64293 and 64305.

How to find the GCF of 64293 and 64305?

We will first find the prime factorization of 64293 and 64305. After we will calculate the factors of 64293 and 64305 and find the biggest common factor number .

Step-1: Prime Factorization of 64293

Prime factors of 64293 are 3, 29, 739. Prime factorization of 64293 in exponential form is:

64293 = 3¹ × 29¹ × 739¹

Step-2: 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-3: Factors of 64293

List of positive integer factors of 64293 that divides 64293 without a remainder.

1, 3, 29, 87, 739, 2217, 21431

Step-4: Factors of 64305

List of positive integer factors of 64305 that divides 64293 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64293 and 64305. The biggest common factor number is the GCF number.
So the greatest common factor 64293 and 64305 is 3.

Also check out the Least Common Multiple of 64293 and 64305