What is the Greatest Common Factor of 80546 and 80566?

Greatest common factor (GCF) of 80546 and 80566 is 2.

GCF(80546,80566) = 2

We will now calculate the prime factors of 80546 and 80566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80546 and 80566.

How to find the GCF of 80546 and 80566?

We will first find the prime factorization of 80546 and 80566. After we will calculate the factors of 80546 and 80566 and find the biggest common factor number .

Step-1: Prime Factorization of 80546

Prime factors of 80546 are 2, 17, 23, 103. Prime factorization of 80546 in exponential form is:

80546 = 2¹ × 17¹ × 23¹ × 103¹

Step-2: Prime Factorization of 80566

Prime factors of 80566 are 2, 40283. Prime factorization of 80566 in exponential form is:

80566 = 2¹ × 40283¹

Step-3: Factors of 80546

List of positive integer factors of 80546 that divides 80546 without a remainder.

1, 2, 17, 23, 34, 46, 103, 206, 391, 782, 1751, 2369, 3502, 4738, 40273

Step-4: Factors of 80566

List of positive integer factors of 80566 that divides 80546 without a remainder.

1, 2, 40283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80546 and 80566. The biggest common factor number is the GCF number.
So the greatest common factor 80546 and 80566 is 2.

Also check out the Least Common Multiple of 80546 and 80566