What is the Greatest Common Factor of 64089 and 64095?

Greatest common factor (GCF) of 64089 and 64095 is 3.

GCF(64089,64095) = 3

We will now calculate the prime factors of 64089 and 64095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64089 and 64095.

How to find the GCF of 64089 and 64095?

We will first find the prime factorization of 64089 and 64095. After we will calculate the factors of 64089 and 64095 and find the biggest common factor number .

Step-1: Prime Factorization of 64089

Prime factors of 64089 are 3, 7121. Prime factorization of 64089 in exponential form is:

64089 = 3² × 7121¹

Step-2: Prime Factorization of 64095

Prime factors of 64095 are 3, 5, 4273. Prime factorization of 64095 in exponential form is:

64095 = 3¹ × 5¹ × 4273¹

Step-3: Factors of 64089

List of positive integer factors of 64089 that divides 64089 without a remainder.

1, 3, 9, 7121, 21363

Step-4: Factors of 64095

List of positive integer factors of 64095 that divides 64089 without a remainder.

1, 3, 5, 15, 4273, 12819, 21365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64089 and 64095. The biggest common factor number is the GCF number.
So the greatest common factor 64089 and 64095 is 3.

Also check out the Least Common Multiple of 64089 and 64095