What is the Greatest Common Factor of 72981 and 72997?

Greatest common factor (GCF) of 72981 and 72997 is 1.

GCF(72981,72997) = 1

We will now calculate the prime factors of 72981 and 72997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72981 and 72997.

How to find the GCF of 72981 and 72997?

We will first find the prime factorization of 72981 and 72997. After we will calculate the factors of 72981 and 72997 and find the biggest common factor number .

Step-1: Prime Factorization of 72981

Prime factors of 72981 are 3, 17, 53. Prime factorization of 72981 in exponential form is:

72981 = 3⁴ × 17¹ × 53¹

Step-2: Prime Factorization of 72997

Prime factors of 72997 are 72997. Prime factorization of 72997 in exponential form is:

72997 = 72997¹

Step-3: Factors of 72981

List of positive integer factors of 72981 that divides 72981 without a remainder.

1, 3, 9, 17, 27, 51, 53, 81, 153, 159, 459, 477, 901, 1377, 1431, 2703, 4293, 8109, 24327

Step-4: Factors of 72997

List of positive integer factors of 72997 that divides 72981 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72981 and 72997. The biggest common factor number is the GCF number.
So the greatest common factor 72981 and 72997 is 1.

Also check out the Least Common Multiple of 72981 and 72997