What is the Greatest Common Factor of 78806 and 78814?

Greatest common factor (GCF) of 78806 and 78814 is 2.

GCF(78806,78814) = 2

We will now calculate the prime factors of 78806 and 78814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78806 and 78814.

How to find the GCF of 78806 and 78814?

We will first find the prime factorization of 78806 and 78814. After we will calculate the factors of 78806 and 78814 and find the biggest common factor number .

Step-1: Prime Factorization of 78806

Prime factors of 78806 are 2, 7, 13, 433. Prime factorization of 78806 in exponential form is:

78806 = 2¹ × 7¹ × 13¹ × 433¹

Step-2: Prime Factorization of 78814

Prime factors of 78814 are 2, 157, 251. Prime factorization of 78814 in exponential form is:

78814 = 2¹ × 157¹ × 251¹

Step-3: Factors of 78806

List of positive integer factors of 78806 that divides 78806 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 433, 866, 3031, 5629, 6062, 11258, 39403

Step-4: Factors of 78814

List of positive integer factors of 78814 that divides 78806 without a remainder.

1, 2, 157, 251, 314, 502, 39407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78806 and 78814. The biggest common factor number is the GCF number.
So the greatest common factor 78806 and 78814 is 2.

Also check out the Least Common Multiple of 78806 and 78814