What is the Greatest Common Factor of 78156 and 78174?

Greatest common factor (GCF) of 78156 and 78174 is 18.

GCF(78156,78174) = 18

We will now calculate the prime factors of 78156 and 78174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78156 and 78174.

How to find the GCF of 78156 and 78174?

We will first find the prime factorization of 78156 and 78174. After we will calculate the factors of 78156 and 78174 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 78174

Prime factors of 78174 are 2, 3, 43, 101. Prime factorization of 78174 in exponential form is:

78174 = 2¹ × 3² × 43¹ × 101¹

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 78174

List of positive integer factors of 78174 that divides 78156 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 101, 129, 202, 258, 303, 387, 606, 774, 909, 1818, 4343, 8686, 13029, 26058, 39087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78156 and 78174. The biggest common factor number is the GCF number.
So the greatest common factor 78156 and 78174 is 18.

Also check out the Least Common Multiple of 78156 and 78174