What is the Greatest Common Factor of 72981 and 72991?

Greatest common factor (GCF) of 72981 and 72991 is 1.

GCF(72981,72991) = 1

We will now calculate the prime factors of 72981 and 72991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72981 and 72991.

How to find the GCF of 72981 and 72991?

We will first find the prime factorization of 72981 and 72991. After we will calculate the factors of 72981 and 72991 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 72991

Prime factors of 72991 are 47, 1553. Prime factorization of 72991 in exponential form is:

72991 = 47¹ × 1553¹

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 72991

List of positive integer factors of 72991 that divides 72981 without a remainder.

1, 47, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72981 and 72991. The biggest common factor number is the GCF number.
So the greatest common factor 72981 and 72991 is 1.

Also check out the Least Common Multiple of 72981 and 72991