What is the Greatest Common Factor of 78909 and 78924?

Greatest common factor (GCF) of 78909 and 78924 is 3.

GCF(78909,78924) = 3

We will now calculate the prime factors of 78909 and 78924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78909 and 78924.

How to find the GCF of 78909 and 78924?

We will first find the prime factorization of 78909 and 78924. After we will calculate the factors of 78909 and 78924 and find the biggest common factor number .

Step-1: Prime Factorization of 78909

Prime factors of 78909 are 3, 29, 907. Prime factorization of 78909 in exponential form is:

78909 = 3¹ × 29¹ × 907¹

Step-2: 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-3: Factors of 78909

List of positive integer factors of 78909 that divides 78909 without a remainder.

1, 3, 29, 87, 907, 2721, 26303

Step-4: Factors of 78924

List of positive integer factors of 78924 that divides 78909 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78909 and 78924. The biggest common factor number is the GCF number.
So the greatest common factor 78909 and 78924 is 3.

Also check out the Least Common Multiple of 78909 and 78924