What is the Greatest Common Factor of 78294 and 78309?

Greatest common factor (GCF) of 78294 and 78309 is 3.

GCF(78294,78309) = 3

We will now calculate the prime factors of 78294 and 78309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78294 and 78309.

How to find the GCF of 78294 and 78309?

We will first find the prime factorization of 78294 and 78309. After we will calculate the factors of 78294 and 78309 and find the biggest common factor number .

Step-1: Prime Factorization of 78294

Prime factors of 78294 are 2, 3, 13049. Prime factorization of 78294 in exponential form is:

78294 = 2¹ × 3¹ × 13049¹

Step-2: Prime Factorization of 78309

Prime factors of 78309 are 3, 7, 11, 113. Prime factorization of 78309 in exponential form is:

78309 = 3² × 7¹ × 11¹ × 113¹

Step-3: Factors of 78294

List of positive integer factors of 78294 that divides 78294 without a remainder.

1, 2, 3, 6, 13049, 26098, 39147

Step-4: Factors of 78309

List of positive integer factors of 78309 that divides 78294 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 113, 231, 339, 693, 791, 1017, 1243, 2373, 3729, 7119, 8701, 11187, 26103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78294 and 78309. The biggest common factor number is the GCF number.
So the greatest common factor 78294 and 78309 is 3.

Also check out the Least Common Multiple of 78294 and 78309