What is the Greatest Common Factor of 78547 and 78564?

Greatest common factor (GCF) of 78547 and 78564 is 1.

GCF(78547,78564) = 1

We will now calculate the prime factors of 78547 and 78564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78547 and 78564.

How to find the GCF of 78547 and 78564?

We will first find the prime factorization of 78547 and 78564. After we will calculate the factors of 78547 and 78564 and find the biggest common factor number .

Step-1: Prime Factorization of 78547

Prime factors of 78547 are 7, 229. Prime factorization of 78547 in exponential form is:

78547 = 7³ × 229¹

Step-2: Prime Factorization of 78564

Prime factors of 78564 are 2, 3, 6547. Prime factorization of 78564 in exponential form is:

78564 = 2² × 3¹ × 6547¹

Step-3: Factors of 78547

List of positive integer factors of 78547 that divides 78547 without a remainder.

1, 7, 49, 229, 343, 1603, 11221

Step-4: Factors of 78564

List of positive integer factors of 78564 that divides 78547 without a remainder.

1, 2, 3, 4, 6, 12, 6547, 13094, 19641, 26188, 39282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78547 and 78564. The biggest common factor number is the GCF number.
So the greatest common factor 78547 and 78564 is 1.

Also check out the Least Common Multiple of 78547 and 78564