What is the Greatest Common Factor of 78139 and 78156?

Greatest common factor (GCF) of 78139 and 78156 is 1.

GCF(78139,78156) = 1

We will now calculate the prime factors of 78139 and 78156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78139 and 78156.

How to find the GCF of 78139 and 78156?

We will first find the prime factorization of 78139 and 78156. After we will calculate the factors of 78139 and 78156 and find the biggest common factor number .

Step-1: Prime Factorization of 78139

Prime factors of 78139 are 78139. Prime factorization of 78139 in exponential form is:

78139 = 78139¹

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 78139

List of positive integer factors of 78139 that divides 78139 without a remainder.

Step-4: Factors of 78156

List of positive integer factors of 78156 that divides 78139 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 78139 and 78156. The biggest common factor number is the GCF number.
So the greatest common factor 78139 and 78156 is 1.

Also check out the Least Common Multiple of 78139 and 78156