What is the Greatest Common Factor of 80562 and 80566?

Greatest common factor (GCF) of 80562 and 80566 is 2.

GCF(80562,80566) = 2

We will now calculate the prime factors of 80562 and 80566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80562 and 80566.

How to find the GCF of 80562 and 80566?

We will first find the prime factorization of 80562 and 80566. After we will calculate the factors of 80562 and 80566 and find the biggest common factor number .

Step-1: Prime Factorization of 80562

Prime factors of 80562 are 2, 3, 29, 463. Prime factorization of 80562 in exponential form is:

80562 = 2¹ × 3¹ × 29¹ × 463¹

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 80562

List of positive integer factors of 80562 that divides 80562 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 463, 926, 1389, 2778, 13427, 26854, 40281

Step-4: Factors of 80566

List of positive integer factors of 80566 that divides 80562 without a remainder.

1, 2, 40283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80562 and 80566. The biggest common factor number is the GCF number.
So the greatest common factor 80562 and 80566 is 2.

Also check out the Least Common Multiple of 80562 and 80566