What is the Greatest Common Factor of 78886 and 78894?

Greatest common factor (GCF) of 78886 and 78894 is 2.

GCF(78886,78894) = 2

We will now calculate the prime factors of 78886 and 78894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78886 and 78894.

How to find the GCF of 78886 and 78894?

We will first find the prime factorization of 78886 and 78894. After we will calculate the factors of 78886 and 78894 and find the biggest common factor number .

Step-1: Prime Factorization of 78886

Prime factors of 78886 are 2, 39443. Prime factorization of 78886 in exponential form is:

78886 = 2¹ × 39443¹

Step-2: Prime Factorization of 78894

Prime factors of 78894 are 2, 3, 487. Prime factorization of 78894 in exponential form is:

78894 = 2¹ × 3⁴ × 487¹

Step-3: Factors of 78886

List of positive integer factors of 78886 that divides 78886 without a remainder.

1, 2, 39443

Step-4: Factors of 78894

List of positive integer factors of 78894 that divides 78886 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 487, 974, 1461, 2922, 4383, 8766, 13149, 26298, 39447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78886 and 78894. The biggest common factor number is the GCF number.
So the greatest common factor 78886 and 78894 is 2.

Also check out the Least Common Multiple of 78886 and 78894