What is the Greatest Common Factor of 64071 and 64082?

Greatest common factor (GCF) of 64071 and 64082 is 1.

GCF(64071,64082) = 1

We will now calculate the prime factors of 64071 and 64082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64071 and 64082.

How to find the GCF of 64071 and 64082?

We will first find the prime factorization of 64071 and 64082. After we will calculate the factors of 64071 and 64082 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 64082

Prime factors of 64082 are 2, 179. Prime factorization of 64082 in exponential form is:

64082 = 2¹ × 179²

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 64082

List of positive integer factors of 64082 that divides 64071 without a remainder.

1, 2, 179, 358, 32041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64071 and 64082. The biggest common factor number is the GCF number.
So the greatest common factor 64071 and 64082 is 1.

Also check out the Least Common Multiple of 64071 and 64082