What is the Greatest Common Factor of 78564 and 78569?

Greatest common factor (GCF) of 78564 and 78569 is 1.

GCF(78564,78569) = 1

We will now calculate the prime factors of 78564 and 78569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78564 and 78569.

How to find the GCF of 78564 and 78569?

We will first find the prime factorization of 78564 and 78569. After we will calculate the factors of 78564 and 78569 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78569

Prime factors of 78569 are 78569. Prime factorization of 78569 in exponential form is:

78569 = 78569¹

Step-3: Factors of 78564

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

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

Step-4: Factors of 78569

List of positive integer factors of 78569 that divides 78564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78564 and 78569. The biggest common factor number is the GCF number.
So the greatest common factor 78564 and 78569 is 1.

Also check out the Least Common Multiple of 78564 and 78569