What is the Greatest Common Factor of 78423 and 78438?

Greatest common factor (GCF) of 78423 and 78438 is 3.

GCF(78423,78438) = 3

We will now calculate the prime factors of 78423 and 78438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78423 and 78438.

How to find the GCF of 78423 and 78438?

We will first find the prime factorization of 78423 and 78438. After we will calculate the factors of 78423 and 78438 and find the biggest common factor number .

Step-1: Prime Factorization of 78423

Prime factors of 78423 are 3, 26141. Prime factorization of 78423 in exponential form is:

78423 = 3¹ × 26141¹

Step-2: Prime Factorization of 78438

Prime factors of 78438 are 2, 3, 17, 769. Prime factorization of 78438 in exponential form is:

78438 = 2¹ × 3¹ × 17¹ × 769¹

Step-3: Factors of 78423

List of positive integer factors of 78423 that divides 78423 without a remainder.

1, 3, 26141

Step-4: Factors of 78438

List of positive integer factors of 78438 that divides 78423 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 769, 1538, 2307, 4614, 13073, 26146, 39219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78423 and 78438. The biggest common factor number is the GCF number.
So the greatest common factor 78423 and 78438 is 3.

Also check out the Least Common Multiple of 78423 and 78438