What is the Greatest Common Factor of 80842 and 80856?

Greatest common factor (GCF) of 80842 and 80856 is 2.

GCF(80842,80856) = 2

We will now calculate the prime factors of 80842 and 80856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80842 and 80856.

How to find the GCF of 80842 and 80856?

We will first find the prime factorization of 80842 and 80856. After we will calculate the factors of 80842 and 80856 and find the biggest common factor number .

Step-1: Prime Factorization of 80842

Prime factors of 80842 are 2, 83, 487. Prime factorization of 80842 in exponential form is:

80842 = 2¹ × 83¹ × 487¹

Step-2: Prime Factorization of 80856

Prime factors of 80856 are 2, 3, 1123. Prime factorization of 80856 in exponential form is:

80856 = 2³ × 3² × 1123¹

Step-3: Factors of 80842

List of positive integer factors of 80842 that divides 80842 without a remainder.

1, 2, 83, 166, 487, 974, 40421

Step-4: Factors of 80856

List of positive integer factors of 80856 that divides 80842 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1123, 2246, 3369, 4492, 6738, 8984, 10107, 13476, 20214, 26952, 40428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80842 and 80856. The biggest common factor number is the GCF number.
So the greatest common factor 80842 and 80856 is 2.

Also check out the Least Common Multiple of 80842 and 80856