What is the Greatest Common Factor of 72971 and 72991?

Greatest common factor (GCF) of 72971 and 72991 is 1.

GCF(72971,72991) = 1

We will now calculate the prime factors of 72971 and 72991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72971 and 72991.

How to find the GCF of 72971 and 72991?

We will first find the prime factorization of 72971 and 72991. After we will calculate the factors of 72971 and 72991 and find the biggest common factor number .

Step-1: Prime Factorization of 72971

Prime factors of 72971 are 43, 1697. Prime factorization of 72971 in exponential form is:

72971 = 43¹ × 1697¹

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 72971

List of positive integer factors of 72971 that divides 72971 without a remainder.

1, 43, 1697

Step-4: Factors of 72991

List of positive integer factors of 72991 that divides 72971 without a remainder.

1, 47, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72971 and 72991. The biggest common factor number is the GCF number.
So the greatest common factor 72971 and 72991 is 1.

Also check out the Least Common Multiple of 72971 and 72991