What is the Greatest Common Factor of 72881 and 72898?

Greatest common factor (GCF) of 72881 and 72898 is 1.

GCF(72881,72898) = 1

We will now calculate the prime factors of 72881 and 72898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72881 and 72898.

How to find the GCF of 72881 and 72898?

We will first find the prime factorization of 72881 and 72898. After we will calculate the factors of 72881 and 72898 and find the biggest common factor number .

Step-1: Prime Factorization of 72881

Prime factors of 72881 are 31, 2351. Prime factorization of 72881 in exponential form is:

72881 = 31¹ × 2351¹

Step-2: Prime Factorization of 72898

Prime factors of 72898 are 2, 7, 41, 127. Prime factorization of 72898 in exponential form is:

72898 = 2¹ × 7¹ × 41¹ × 127¹

Step-3: Factors of 72881

List of positive integer factors of 72881 that divides 72881 without a remainder.

1, 31, 2351

Step-4: Factors of 72898

List of positive integer factors of 72898 that divides 72881 without a remainder.

1, 2, 7, 14, 41, 82, 127, 254, 287, 574, 889, 1778, 5207, 10414, 36449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72881 and 72898. The biggest common factor number is the GCF number.
So the greatest common factor 72881 and 72898 is 1.

Also check out the Least Common Multiple of 72881 and 72898