What is the Greatest Common Factor of 80874 and 80891?

Greatest common factor (GCF) of 80874 and 80891 is 1.

GCF(80874,80891) = 1

We will now calculate the prime factors of 80874 and 80891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80874 and 80891.

How to find the GCF of 80874 and 80891?

We will first find the prime factorization of 80874 and 80891. After we will calculate the factors of 80874 and 80891 and find the biggest common factor number .

Step-1: Prime Factorization of 80874

Prime factors of 80874 are 2, 3, 4493. Prime factorization of 80874 in exponential form is:

80874 = 2¹ × 3² × 4493¹

Step-2: Prime Factorization of 80891

Prime factors of 80891 are 23, 3517. Prime factorization of 80891 in exponential form is:

80891 = 23¹ × 3517¹

Step-3: Factors of 80874

List of positive integer factors of 80874 that divides 80874 without a remainder.

1, 2, 3, 6, 9, 18, 4493, 8986, 13479, 26958, 40437

Step-4: Factors of 80891

List of positive integer factors of 80891 that divides 80874 without a remainder.

1, 23, 3517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80874 and 80891. The biggest common factor number is the GCF number.
So the greatest common factor 80874 and 80891 is 1.

Also check out the Least Common Multiple of 80874 and 80891