What is the Greatest Common Factor of 80872 and 80878?

Greatest common factor (GCF) of 80872 and 80878 is 2.

GCF(80872,80878) = 2

We will now calculate the prime factors of 80872 and 80878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80872 and 80878.

How to find the GCF of 80872 and 80878?

We will first find the prime factorization of 80872 and 80878. After we will calculate the factors of 80872 and 80878 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 80878

Prime factors of 80878 are 2, 7, 53, 109. Prime factorization of 80878 in exponential form is:

80878 = 2¹ × 7¹ × 53¹ × 109¹

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 80878

List of positive integer factors of 80878 that divides 80872 without a remainder.

1, 2, 7, 14, 53, 106, 109, 218, 371, 742, 763, 1526, 5777, 11554, 40439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80872 and 80878. The biggest common factor number is the GCF number.
So the greatest common factor 80872 and 80878 is 2.

Also check out the Least Common Multiple of 80872 and 80878