What is the Greatest Common Factor of 78143 and 78156?

Greatest common factor (GCF) of 78143 and 78156 is 13.

GCF(78143,78156) = 13

We will now calculate the prime factors of 78143 and 78156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78143 and 78156.

How to find the GCF of 78143 and 78156?

We will first find the prime factorization of 78143 and 78156. After we will calculate the factors of 78143 and 78156 and find the biggest common factor number .

Step-1: Prime Factorization of 78143

Prime factors of 78143 are 13, 6011. Prime factorization of 78143 in exponential form is:

78143 = 13¹ × 6011¹

Step-2: 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-3: Factors of 78143

List of positive integer factors of 78143 that divides 78143 without a remainder.

1, 13, 6011

Step-4: Factors of 78156

List of positive integer factors of 78156 that divides 78143 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78143 and 78156. The biggest common factor number is the GCF number.
So the greatest common factor 78143 and 78156 is 13.

Also check out the Least Common Multiple of 78143 and 78156