What is the Greatest Common Factor of 80506 and 80524?

Greatest common factor (GCF) of 80506 and 80524 is 2.

GCF(80506,80524) = 2

We will now calculate the prime factors of 80506 and 80524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80506 and 80524.

How to find the GCF of 80506 and 80524?

We will first find the prime factorization of 80506 and 80524. After we will calculate the factors of 80506 and 80524 and find the biggest common factor number .

Step-1: Prime Factorization of 80506

Prime factors of 80506 are 2, 40253. Prime factorization of 80506 in exponential form is:

80506 = 2¹ × 40253¹

Step-2: Prime Factorization of 80524

Prime factors of 80524 are 2, 41, 491. Prime factorization of 80524 in exponential form is:

80524 = 2² × 41¹ × 491¹

Step-3: Factors of 80506

List of positive integer factors of 80506 that divides 80506 without a remainder.

1, 2, 40253

Step-4: Factors of 80524

List of positive integer factors of 80524 that divides 80506 without a remainder.

1, 2, 4, 41, 82, 164, 491, 982, 1964, 20131, 40262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80506 and 80524. The biggest common factor number is the GCF number.
So the greatest common factor 80506 and 80524 is 2.

Also check out the Least Common Multiple of 80506 and 80524