What is the Greatest Common Factor of 78792 and 78806?

Greatest common factor (GCF) of 78792 and 78806 is 14.

GCF(78792,78806) = 14

We will now calculate the prime factors of 78792 and 78806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78792 and 78806.

How to find the GCF of 78792 and 78806?

We will first find the prime factorization of 78792 and 78806. After we will calculate the factors of 78792 and 78806 and find the biggest common factor number .

Step-1: Prime Factorization of 78792

Prime factors of 78792 are 2, 3, 7, 67. Prime factorization of 78792 in exponential form is:

78792 = 2³ × 3¹ × 7² × 67¹

Step-2: 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-3: Factors of 78792

List of positive integer factors of 78792 that divides 78792 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 67, 84, 98, 134, 147, 168, 196, 201, 268, 294, 392, 402, 469, 536, 588, 804, 938, 1176, 1407, 1608, 1876, 2814, 3283, 3752, 5628, 6566, 9849, 11256, 13132, 19698, 26264, 39396

Step-4: Factors of 78806

List of positive integer factors of 78806 that divides 78792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78792 and 78806. The biggest common factor number is the GCF number.
So the greatest common factor 78792 and 78806 is 14.

Also check out the Least Common Multiple of 78792 and 78806