What is the Greatest Common Factor of 78924 and 78939?

Greatest common factor (GCF) of 78924 and 78939 is 3.

GCF(78924,78939) = 3

We will now calculate the prime factors of 78924 and 78939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78924 and 78939.

How to find the GCF of 78924 and 78939?

We will first find the prime factorization of 78924 and 78939. After we will calculate the factors of 78924 and 78939 and find the biggest common factor number .

Step-1: Prime Factorization of 78924

Prime factors of 78924 are 2, 3, 6577. Prime factorization of 78924 in exponential form is:

78924 = 2² × 3¹ × 6577¹

Step-2: Prime Factorization of 78939

Prime factors of 78939 are 3, 7, 179. Prime factorization of 78939 in exponential form is:

78939 = 3² × 7² × 179¹

Step-3: Factors of 78924

List of positive integer factors of 78924 that divides 78924 without a remainder.

1, 2, 3, 4, 6, 12, 6577, 13154, 19731, 26308, 39462

Step-4: Factors of 78939

List of positive integer factors of 78939 that divides 78924 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 179, 441, 537, 1253, 1611, 3759, 8771, 11277, 26313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78924 and 78939. The biggest common factor number is the GCF number.
So the greatest common factor 78924 and 78939 is 3.

Also check out the Least Common Multiple of 78924 and 78939