What is the Greatest Common Factor of 80566 and 80584?

Greatest common factor (GCF) of 80566 and 80584 is 2.

GCF(80566,80584) = 2

We will now calculate the prime factors of 80566 and 80584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80566 and 80584.

How to find the GCF of 80566 and 80584?

We will first find the prime factorization of 80566 and 80584. After we will calculate the factors of 80566 and 80584 and find the biggest common factor number .

Step-1: Prime Factorization of 80566

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

80566 = 2¹ × 40283¹

Step-2: Prime Factorization of 80584

Prime factors of 80584 are 2, 7, 1439. Prime factorization of 80584 in exponential form is:

80584 = 2³ × 7¹ × 1439¹

Step-3: Factors of 80566

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

1, 2, 40283

Step-4: Factors of 80584

List of positive integer factors of 80584 that divides 80566 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1439, 2878, 5756, 10073, 11512, 20146, 40292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80566 and 80584. The biggest common factor number is the GCF number.
So the greatest common factor 80566 and 80584 is 2.

Also check out the Least Common Multiple of 80566 and 80584