What is the Greatest Common Factor of 80861 and 80872?

Greatest common factor (GCF) of 80861 and 80872 is 11.

GCF(80861,80872) = 11

We will now calculate the prime factors of 80861 and 80872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80861 and 80872.

How to find the GCF of 80861 and 80872?

We will first find the prime factorization of 80861 and 80872. After we will calculate the factors of 80861 and 80872 and find the biggest common factor number .

Step-1: Prime Factorization of 80861

Prime factors of 80861 are 11, 7351. Prime factorization of 80861 in exponential form is:

80861 = 11¹ × 7351¹

Step-2: Prime Factorization of 80872

Prime factors of 80872 are 2, 11, 919. Prime factorization of 80872 in exponential form is:

80872 = 2³ × 11¹ × 919¹

Step-3: Factors of 80861

List of positive integer factors of 80861 that divides 80861 without a remainder.

1, 11, 7351

Step-4: Factors of 80872

List of positive integer factors of 80872 that divides 80861 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 919, 1838, 3676, 7352, 10109, 20218, 40436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80861 and 80872. The biggest common factor number is the GCF number.
So the greatest common factor 80861 and 80872 is 11.

Also check out the Least Common Multiple of 80861 and 80872