What is the Greatest Common Factor of 64071 and 64089?

Greatest common factor (GCF) of 64071 and 64089 is 9.

GCF(64071,64089) = 9

We will now calculate the prime factors of 64071 and 64089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64071 and 64089.

How to find the GCF of 64071 and 64089?

We will first find the prime factorization of 64071 and 64089. After we will calculate the factors of 64071 and 64089 and find the biggest common factor number .

Step-1: Prime Factorization of 64071

Prime factors of 64071 are 3, 7, 113. Prime factorization of 64071 in exponential form is:

64071 = 3⁴ × 7¹ × 113¹

Step-2: Prime Factorization of 64089

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

64089 = 3² × 7121¹

Step-3: Factors of 64071

List of positive integer factors of 64071 that divides 64071 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 113, 189, 339, 567, 791, 1017, 2373, 3051, 7119, 9153, 21357

Step-4: Factors of 64089

List of positive integer factors of 64089 that divides 64071 without a remainder.

1, 3, 9, 7121, 21363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64071 and 64089. The biggest common factor number is the GCF number.
So the greatest common factor 64071 and 64089 is 9.

Also check out the Least Common Multiple of 64071 and 64089