What is the Greatest Common Factor of 72082 and 72089?

Greatest common factor (GCF) of 72082 and 72089 is 1.

GCF(72082,72089) = 1

We will now calculate the prime factors of 72082 and 72089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72082 and 72089.

How to find the GCF of 72082 and 72089?

We will first find the prime factorization of 72082 and 72089. After we will calculate the factors of 72082 and 72089 and find the biggest common factor number .

Step-1: Prime Factorization of 72082

Prime factors of 72082 are 2, 23, 1567. Prime factorization of 72082 in exponential form is:

72082 = 2¹ × 23¹ × 1567¹

Step-2: Prime Factorization of 72089

Prime factors of 72089 are 72089. Prime factorization of 72089 in exponential form is:

72089 = 72089¹

Step-3: Factors of 72082

List of positive integer factors of 72082 that divides 72082 without a remainder.

1, 2, 23, 46, 1567, 3134, 36041

Step-4: Factors of 72089

List of positive integer factors of 72089 that divides 72082 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72082 and 72089. The biggest common factor number is the GCF number.
So the greatest common factor 72082 and 72089 is 1.

Also check out the Least Common Multiple of 72082 and 72089