What is the Greatest Common Factor of 80872 and 80883?

Greatest common factor (GCF) of 80872 and 80883 is 11.

GCF(80872,80883) = 11

We will now calculate the prime factors of 80872 and 80883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80872 and 80883.

How to find the GCF of 80872 and 80883?

We will first find the prime factorization of 80872 and 80883. After we will calculate the factors of 80872 and 80883 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80883

Prime factors of 80883 are 3, 11, 19, 43. Prime factorization of 80883 in exponential form is:

80883 = 3² × 11¹ × 19¹ × 43¹

Step-3: Factors of 80872

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

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

Step-4: Factors of 80883

List of positive integer factors of 80883 that divides 80872 without a remainder.

1, 3, 9, 11, 19, 33, 43, 57, 99, 129, 171, 209, 387, 473, 627, 817, 1419, 1881, 2451, 4257, 7353, 8987, 26961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80872 and 80883. The biggest common factor number is the GCF number.
So the greatest common factor 80872 and 80883 is 11.

Also check out the Least Common Multiple of 80872 and 80883