What is the Greatest Common Factor of 78429 and 78444?

Greatest common factor (GCF) of 78429 and 78444 is 3.

GCF(78429,78444) = 3

We will now calculate the prime factors of 78429 and 78444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78429 and 78444.

How to find the GCF of 78429 and 78444?

We will first find the prime factorization of 78429 and 78444. After we will calculate the factors of 78429 and 78444 and find the biggest common factor number .

Step-1: Prime Factorization of 78429

Prime factors of 78429 are 3, 13, 2011. Prime factorization of 78429 in exponential form is:

78429 = 3¹ × 13¹ × 2011¹

Step-2: Prime Factorization of 78444

Prime factors of 78444 are 2, 3, 2179. Prime factorization of 78444 in exponential form is:

78444 = 2² × 3² × 2179¹

Step-3: Factors of 78429

List of positive integer factors of 78429 that divides 78429 without a remainder.

1, 3, 13, 39, 2011, 6033, 26143

Step-4: Factors of 78444

List of positive integer factors of 78444 that divides 78429 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2179, 4358, 6537, 8716, 13074, 19611, 26148, 39222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78429 and 78444. The biggest common factor number is the GCF number.
So the greatest common factor 78429 and 78444 is 3.

Also check out the Least Common Multiple of 78429 and 78444