What is the Greatest Common Factor of 78156 and 78168?

Greatest common factor (GCF) of 78156 and 78168 is 12.

GCF(78156,78168) = 12

We will now calculate the prime factors of 78156 and 78168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78156 and 78168.

How to find the GCF of 78156 and 78168?

We will first find the prime factorization of 78156 and 78168. After we will calculate the factors of 78156 and 78168 and find the biggest common factor number .

Step-1: Prime Factorization of 78156

Prime factors of 78156 are 2, 3, 13, 167. Prime factorization of 78156 in exponential form is:

78156 = 2² × 3² × 13¹ × 167¹

Step-2: Prime Factorization of 78168

Prime factors of 78168 are 2, 3, 3257. Prime factorization of 78168 in exponential form is:

78168 = 2³ × 3¹ × 3257¹

Step-3: Factors of 78156

List of positive integer factors of 78156 that divides 78156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 167, 234, 334, 468, 501, 668, 1002, 1503, 2004, 2171, 3006, 4342, 6012, 6513, 8684, 13026, 19539, 26052, 39078

Step-4: Factors of 78168

List of positive integer factors of 78168 that divides 78156 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3257, 6514, 9771, 13028, 19542, 26056, 39084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78156 and 78168. The biggest common factor number is the GCF number.
So the greatest common factor 78156 and 78168 is 12.

Also check out the Least Common Multiple of 78156 and 78168