What is the Greatest Common Factor of 80268 and 80278?

Greatest common factor (GCF) of 80268 and 80278 is 2.

GCF(80268,80278) = 2

We will now calculate the prime factors of 80268 and 80278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80268 and 80278.

How to find the GCF of 80268 and 80278?

We will first find the prime factorization of 80268 and 80278. After we will calculate the factors of 80268 and 80278 and find the biggest common factor number .

Step-1: Prime Factorization of 80268

Prime factors of 80268 are 2, 3, 6689. Prime factorization of 80268 in exponential form is:

80268 = 2² × 3¹ × 6689¹

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 80268

List of positive integer factors of 80268 that divides 80268 without a remainder.

1, 2, 3, 4, 6, 12, 6689, 13378, 20067, 26756, 40134

Step-4: Factors of 80278

List of positive integer factors of 80278 that divides 80268 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 80268 and 80278. The biggest common factor number is the GCF number.
So the greatest common factor 80268 and 80278 is 2.

Also check out the Least Common Multiple of 80268 and 80278