What is the Greatest Common Factor of 71981 and 72001?

Greatest common factor (GCF) of 71981 and 72001 is 1.

GCF(71981,72001) = 1

We will now calculate the prime factors of 71981 and 72001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71981 and 72001.

How to find the GCF of 71981 and 72001?

We will first find the prime factorization of 71981 and 72001. After we will calculate the factors of 71981 and 72001 and find the biggest common factor number .

Step-1: Prime Factorization of 71981

Prime factors of 71981 are 7, 13, 113. Prime factorization of 71981 in exponential form is:

71981 = 7² × 13¹ × 113¹

Step-2: Prime Factorization of 72001

Prime factors of 72001 are 89, 809. Prime factorization of 72001 in exponential form is:

72001 = 89¹ × 809¹

Step-3: Factors of 71981

List of positive integer factors of 71981 that divides 71981 without a remainder.

1, 7, 13, 49, 91, 113, 637, 791, 1469, 5537, 10283

Step-4: Factors of 72001

List of positive integer factors of 72001 that divides 71981 without a remainder.

1, 89, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71981 and 72001. The biggest common factor number is the GCF number.
So the greatest common factor 71981 and 72001 is 1.

Also check out the Least Common Multiple of 71981 and 72001