What is the Greatest Common Factor of 78147 and 78163?

Greatest common factor (GCF) of 78147 and 78163 is 1.

GCF(78147,78163) = 1

We will now calculate the prime factors of 78147 and 78163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78147 and 78163.

How to find the GCF of 78147 and 78163?

We will first find the prime factorization of 78147 and 78163. After we will calculate the factors of 78147 and 78163 and find the biggest common factor number .

Step-1: Prime Factorization of 78147

Prime factors of 78147 are 3, 19, 457. Prime factorization of 78147 in exponential form is:

78147 = 3² × 19¹ × 457¹

Step-2: Prime Factorization of 78163

Prime factors of 78163 are 78163. Prime factorization of 78163 in exponential form is:

78163 = 78163¹

Step-3: Factors of 78147

List of positive integer factors of 78147 that divides 78147 without a remainder.

1, 3, 9, 19, 57, 171, 457, 1371, 4113, 8683, 26049

Step-4: Factors of 78163

List of positive integer factors of 78163 that divides 78147 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78147 and 78163. The biggest common factor number is the GCF number.
So the greatest common factor 78147 and 78163 is 1.

Also check out the Least Common Multiple of 78147 and 78163