What is the Greatest Common Factor of 78156 and 78172?

Greatest common factor (GCF) of 78156 and 78172 is 4.

GCF(78156,78172) = 4

We will now calculate the prime factors of 78156 and 78172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78156 and 78172.

How to find the GCF of 78156 and 78172?

We will first find the prime factorization of 78156 and 78172. After we will calculate the factors of 78156 and 78172 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 78172

Prime factors of 78172 are 2, 19543. Prime factorization of 78172 in exponential form is:

78172 = 2² × 19543¹

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 78172

List of positive integer factors of 78172 that divides 78156 without a remainder.

1, 2, 4, 19543, 39086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78156 and 78172. The biggest common factor number is the GCF number.
So the greatest common factor 78156 and 78172 is 4.

Also check out the Least Common Multiple of 78156 and 78172