What is the Greatest Common Factor of 80278 and 80296?

Greatest common factor (GCF) of 80278 and 80296 is 2.

GCF(80278,80296) = 2

We will now calculate the prime factors of 80278 and 80296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80278 and 80296.

How to find the GCF of 80278 and 80296?

We will first find the prime factorization of 80278 and 80296. After we will calculate the factors of 80278 and 80296 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80296

Prime factors of 80296 are 2, 10037. Prime factorization of 80296 in exponential form is:

80296 = 2³ × 10037¹

Step-3: Factors of 80278

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

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

Step-4: Factors of 80296

List of positive integer factors of 80296 that divides 80278 without a remainder.

1, 2, 4, 8, 10037, 20074, 40148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80278 and 80296. The biggest common factor number is the GCF number.
So the greatest common factor 80278 and 80296 is 2.

Also check out the Least Common Multiple of 80278 and 80296