What is the Greatest Common Factor of 78286 and 78292?

Greatest common factor (GCF) of 78286 and 78292 is 2.

GCF(78286,78292) = 2

We will now calculate the prime factors of 78286 and 78292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78286 and 78292.

How to find the GCF of 78286 and 78292?

We will first find the prime factorization of 78286 and 78292. After we will calculate the factors of 78286 and 78292 and find the biggest common factor number .

Step-1: Prime Factorization of 78286

Prime factors of 78286 are 2, 13, 3011. Prime factorization of 78286 in exponential form is:

78286 = 2¹ × 13¹ × 3011¹

Step-2: Prime Factorization of 78292

Prime factors of 78292 are 2, 23, 37. Prime factorization of 78292 in exponential form is:

78292 = 2² × 23² × 37¹

Step-3: Factors of 78286

List of positive integer factors of 78286 that divides 78286 without a remainder.

1, 2, 13, 26, 3011, 6022, 39143

Step-4: Factors of 78292

List of positive integer factors of 78292 that divides 78286 without a remainder.

1, 2, 4, 23, 37, 46, 74, 92, 148, 529, 851, 1058, 1702, 2116, 3404, 19573, 39146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78286 and 78292. The biggest common factor number is the GCF number.
So the greatest common factor 78286 and 78292 is 2.

Also check out the Least Common Multiple of 78286 and 78292