What is the Greatest Common Factor of 78288 and 78306?

Greatest common factor (GCF) of 78288 and 78306 is 6.

GCF(78288,78306) = 6

We will now calculate the prime factors of 78288 and 78306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78288 and 78306.

How to find the GCF of 78288 and 78306?

We will first find the prime factorization of 78288 and 78306. After we will calculate the factors of 78288 and 78306 and find the biggest common factor number .

Step-1: Prime Factorization of 78288

Prime factors of 78288 are 2, 3, 7, 233. Prime factorization of 78288 in exponential form is:

78288 = 2⁴ × 3¹ × 7¹ × 233¹

Step-2: Prime Factorization of 78306

Prime factors of 78306 are 2, 3, 31, 421. Prime factorization of 78306 in exponential form is:

78306 = 2¹ × 3¹ × 31¹ × 421¹

Step-3: Factors of 78288

List of positive integer factors of 78288 that divides 78288 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 233, 336, 466, 699, 932, 1398, 1631, 1864, 2796, 3262, 3728, 4893, 5592, 6524, 9786, 11184, 13048, 19572, 26096, 39144

Step-4: Factors of 78306

List of positive integer factors of 78306 that divides 78288 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 421, 842, 1263, 2526, 13051, 26102, 39153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78288 and 78306. The biggest common factor number is the GCF number.
So the greatest common factor 78288 and 78306 is 6.

Also check out the Least Common Multiple of 78288 and 78306