What is the Greatest Common Factor of 80901 and 80917?

Greatest common factor (GCF) of 80901 and 80917 is 1.

GCF(80901,80917) = 1

We will now calculate the prime factors of 80901 and 80917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80901 and 80917.

How to find the GCF of 80901 and 80917?

We will first find the prime factorization of 80901 and 80917. After we will calculate the factors of 80901 and 80917 and find the biggest common factor number .

Step-1: Prime Factorization of 80901

Prime factors of 80901 are 3, 89, 101. Prime factorization of 80901 in exponential form is:

80901 = 3² × 89¹ × 101¹

Step-2: Prime Factorization of 80917

Prime factors of 80917 are 80917. Prime factorization of 80917 in exponential form is:

80917 = 80917¹

Step-3: Factors of 80901

List of positive integer factors of 80901 that divides 80901 without a remainder.

1, 3, 9, 89, 101, 267, 303, 801, 909, 8989, 26967

Step-4: Factors of 80917

List of positive integer factors of 80917 that divides 80901 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80901 and 80917. The biggest common factor number is the GCF number.
So the greatest common factor 80901 and 80917 is 1.

Also check out the Least Common Multiple of 80901 and 80917