What is the Greatest Common Factor of 80267 and 80278?

Greatest common factor (GCF) of 80267 and 80278 is 11.

GCF(80267,80278) = 11

We will now calculate the prime factors of 80267 and 80278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80267 and 80278.

How to find the GCF of 80267 and 80278?

We will first find the prime factorization of 80267 and 80278. After we will calculate the factors of 80267 and 80278 and find the biggest common factor number .

Step-1: Prime Factorization of 80267

Prime factors of 80267 are 11, 7297. Prime factorization of 80267 in exponential form is:

80267 = 11¹ × 7297¹

Step-2: Prime Factorization of 80278

Prime factors of 80278 are 2, 11, 41, 89. Prime factorization of 80278 in exponential form is:

80278 = 2¹ × 11¹ × 41¹ × 89¹

Step-3: Factors of 80267

List of positive integer factors of 80267 that divides 80267 without a remainder.

1, 11, 7297

Step-4: Factors of 80278

List of positive integer factors of 80278 that divides 80267 without a remainder.

1, 2, 11, 22, 41, 82, 89, 178, 451, 902, 979, 1958, 3649, 7298, 40139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80267 and 80278. The biggest common factor number is the GCF number.
So the greatest common factor 80267 and 80278 is 11.

Also check out the Least Common Multiple of 80267 and 80278