What is the Greatest Common Factor of 78792 and 78798?

Greatest common factor (GCF) of 78792 and 78798 is 6.

GCF(78792,78798) = 6

We will now calculate the prime factors of 78792 and 78798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78792 and 78798.

How to find the GCF of 78792 and 78798?

We will first find the prime factorization of 78792 and 78798. After we will calculate the factors of 78792 and 78798 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 78798

Prime factors of 78798 are 2, 3, 23, 571. Prime factorization of 78798 in exponential form is:

78798 = 2¹ × 3¹ × 23¹ × 571¹

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 78798

List of positive integer factors of 78798 that divides 78792 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 571, 1142, 1713, 3426, 13133, 26266, 39399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78792 and 78798. The biggest common factor number is the GCF number.
So the greatest common factor 78792 and 78798 is 6.

Also check out the Least Common Multiple of 78792 and 78798