What is the Greatest Common Factor of 80878 and 80882?

Greatest common factor (GCF) of 80878 and 80882 is 2.

GCF(80878,80882) = 2

We will now calculate the prime factors of 80878 and 80882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80878 and 80882.

How to find the GCF of 80878 and 80882?

We will first find the prime factorization of 80878 and 80882. After we will calculate the factors of 80878 and 80882 and find the biggest common factor number .

Step-1: Prime Factorization of 80878

Prime factors of 80878 are 2, 7, 53, 109. Prime factorization of 80878 in exponential form is:

80878 = 2¹ × 7¹ × 53¹ × 109¹

Step-2: Prime Factorization of 80882

Prime factors of 80882 are 2, 37, 1093. Prime factorization of 80882 in exponential form is:

80882 = 2¹ × 37¹ × 1093¹

Step-3: Factors of 80878

List of positive integer factors of 80878 that divides 80878 without a remainder.

1, 2, 7, 14, 53, 106, 109, 218, 371, 742, 763, 1526, 5777, 11554, 40439

Step-4: Factors of 80882

List of positive integer factors of 80882 that divides 80878 without a remainder.

1, 2, 37, 74, 1093, 2186, 40441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80878 and 80882. The biggest common factor number is the GCF number.
So the greatest common factor 80878 and 80882 is 2.

Also check out the Least Common Multiple of 80878 and 80882