What is the Greatest Common Factor of 78806 and 78816?

Greatest common factor (GCF) of 78806 and 78816 is 2.

GCF(78806,78816) = 2

We will now calculate the prime factors of 78806 and 78816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78806 and 78816.

How to find the GCF of 78806 and 78816?

We will first find the prime factorization of 78806 and 78816. After we will calculate the factors of 78806 and 78816 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 78816

Prime factors of 78816 are 2, 3, 821. Prime factorization of 78816 in exponential form is:

78816 = 2⁵ × 3¹ × 821¹

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 78816

List of positive integer factors of 78816 that divides 78806 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 821, 1642, 2463, 3284, 4926, 6568, 9852, 13136, 19704, 26272, 39408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78806 and 78816. The biggest common factor number is the GCF number.
So the greatest common factor 78806 and 78816 is 2.

Also check out the Least Common Multiple of 78806 and 78816