What is the Greatest Common Factor of 78802 and 78808?

Greatest common factor (GCF) of 78802 and 78808 is 2.

GCF(78802,78808) = 2

We will now calculate the prime factors of 78802 and 78808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78802 and 78808.

How to find the GCF of 78802 and 78808?

We will first find the prime factorization of 78802 and 78808. After we will calculate the factors of 78802 and 78808 and find the biggest common factor number .

Step-1: Prime Factorization of 78802

Prime factors of 78802 are 2, 31, 41. Prime factorization of 78802 in exponential form is:

78802 = 2¹ × 31² × 41¹

Step-2: Prime Factorization of 78808

Prime factors of 78808 are 2, 9851. Prime factorization of 78808 in exponential form is:

78808 = 2³ × 9851¹

Step-3: Factors of 78802

List of positive integer factors of 78802 that divides 78802 without a remainder.

1, 2, 31, 41, 62, 82, 961, 1271, 1922, 2542, 39401

Step-4: Factors of 78808

List of positive integer factors of 78808 that divides 78802 without a remainder.

1, 2, 4, 8, 9851, 19702, 39404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78802 and 78808. The biggest common factor number is the GCF number.
So the greatest common factor 78802 and 78808 is 2.

Also check out the Least Common Multiple of 78802 and 78808