What is the Greatest Common Factor of 72082 and 72097?

Greatest common factor (GCF) of 72082 and 72097 is 1.

GCF(72082,72097) = 1

We will now calculate the prime factors of 72082 and 72097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72082 and 72097.

How to find the GCF of 72082 and 72097?

We will first find the prime factorization of 72082 and 72097. After we will calculate the factors of 72082 and 72097 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 72097

Prime factors of 72097 are 17, 4241. Prime factorization of 72097 in exponential form is:

72097 = 17¹ × 4241¹

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 72097

List of positive integer factors of 72097 that divides 72082 without a remainder.

1, 17, 4241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72082 and 72097. The biggest common factor number is the GCF number.
So the greatest common factor 72082 and 72097 is 1.

Also check out the Least Common Multiple of 72082 and 72097