What is the Greatest Common Factor of 78678 and 78696?

Greatest common factor (GCF) of 78678 and 78696 is 18.

GCF(78678,78696) = 18

We will now calculate the prime factors of 78678 and 78696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78678 and 78696.

How to find the GCF of 78678 and 78696?

We will first find the prime factorization of 78678 and 78696. After we will calculate the factors of 78678 and 78696 and find the biggest common factor number .

Step-1: Prime Factorization of 78678

Prime factors of 78678 are 2, 3, 31, 47. Prime factorization of 78678 in exponential form is:

78678 = 2¹ × 3³ × 31¹ × 47¹

Step-2: Prime Factorization of 78696

Prime factors of 78696 are 2, 3, 1093. Prime factorization of 78696 in exponential form is:

78696 = 2³ × 3² × 1093¹

Step-3: Factors of 78678

List of positive integer factors of 78678 that divides 78678 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 47, 54, 62, 93, 94, 141, 186, 279, 282, 423, 558, 837, 846, 1269, 1457, 1674, 2538, 2914, 4371, 8742, 13113, 26226, 39339

Step-4: Factors of 78696

List of positive integer factors of 78696 that divides 78678 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1093, 2186, 3279, 4372, 6558, 8744, 9837, 13116, 19674, 26232, 39348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78678 and 78696. The biggest common factor number is the GCF number.
So the greatest common factor 78678 and 78696 is 18.

Also check out the Least Common Multiple of 78678 and 78696