What is the Greatest Common Factor of 39414 and 39423?

Greatest common factor (GCF) of 39414 and 39423 is 3.

GCF(39414,39423) = 3

We will now calculate the prime factors of 39414 and 39423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39414 and 39423.

How to find the GCF of 39414 and 39423?

We will first find the prime factorization of 39414 and 39423. After we will calculate the factors of 39414 and 39423 and find the biggest common factor number .

Step-1: Prime Factorization of 39414

Prime factors of 39414 are 2, 3, 6569. Prime factorization of 39414 in exponential form is:

39414 = 2¹ × 3¹ × 6569¹

Step-2: Prime Factorization of 39423

Prime factors of 39423 are 3, 17, 773. Prime factorization of 39423 in exponential form is:

39423 = 3¹ × 17¹ × 773¹

Step-3: Factors of 39414

List of positive integer factors of 39414 that divides 39414 without a remainder.

1, 2, 3, 6, 6569, 13138, 19707

Step-4: Factors of 39423

List of positive integer factors of 39423 that divides 39414 without a remainder.

1, 3, 17, 51, 773, 2319, 13141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39414 and 39423. The biggest common factor number is the GCF number.
So the greatest common factor 39414 and 39423 is 3.

Also check out the Least Common Multiple of 39414 and 39423