What is the Greatest Common Factor of 78438 and 78456?

Greatest common factor (GCF) of 78438 and 78456 is 6.

GCF(78438,78456) = 6

We will now calculate the prime factors of 78438 and 78456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78438 and 78456.

How to find the GCF of 78438 and 78456?

We will first find the prime factorization of 78438 and 78456. After we will calculate the factors of 78438 and 78456 and find the biggest common factor number .

Step-1: Prime Factorization of 78438

Prime factors of 78438 are 2, 3, 17, 769. Prime factorization of 78438 in exponential form is:

78438 = 2¹ × 3¹ × 17¹ × 769¹

Step-2: Prime Factorization of 78456

Prime factors of 78456 are 2, 3, 7, 467. Prime factorization of 78456 in exponential form is:

78456 = 2³ × 3¹ × 7¹ × 467¹

Step-3: Factors of 78438

List of positive integer factors of 78438 that divides 78438 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 769, 1538, 2307, 4614, 13073, 26146, 39219

Step-4: Factors of 78456

List of positive integer factors of 78456 that divides 78438 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 467, 934, 1401, 1868, 2802, 3269, 3736, 5604, 6538, 9807, 11208, 13076, 19614, 26152, 39228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78438 and 78456. The biggest common factor number is the GCF number.
So the greatest common factor 78438 and 78456 is 6.

Also check out the Least Common Multiple of 78438 and 78456