What is the Greatest Common Factor of 78678 and 78688?

Greatest common factor (GCF) of 78678 and 78688 is 2.

GCF(78678,78688) = 2

We will now calculate the prime factors of 78678 and 78688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78678 and 78688.

How to find the GCF of 78678 and 78688?

We will first find the prime factorization of 78678 and 78688. After we will calculate the factors of 78678 and 78688 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 78688

Prime factors of 78688 are 2, 2459. Prime factorization of 78688 in exponential form is:

78688 = 2⁵ × 2459¹

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 78688

List of positive integer factors of 78688 that divides 78678 without a remainder.

1, 2, 4, 8, 16, 32, 2459, 4918, 9836, 19672, 39344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78678 and 78688. The biggest common factor number is the GCF number.
So the greatest common factor 78678 and 78688 is 2.

Also check out the Least Common Multiple of 78678 and 78688