What is the Greatest Common Factor of 39408 and 39423?

Greatest common factor (GCF) of 39408 and 39423 is 3.

GCF(39408,39423) = 3

We will now calculate the prime factors of 39408 and 39423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39408 and 39423.

How to find the GCF of 39408 and 39423?

We will first find the prime factorization of 39408 and 39423. After we will calculate the factors of 39408 and 39423 and find the biggest common factor number .

Step-1: Prime Factorization of 39408

Prime factors of 39408 are 2, 3, 821. Prime factorization of 39408 in exponential form is:

39408 = 2⁴ × 3¹ × 821¹

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 39408

List of positive integer factors of 39408 that divides 39408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 821, 1642, 2463, 3284, 4926, 6568, 9852, 13136, 19704

Step-4: Factors of 39423

List of positive integer factors of 39423 that divides 39408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39408 and 39423. The biggest common factor number is the GCF number.
So the greatest common factor 39408 and 39423 is 3.

Also check out the Least Common Multiple of 39408 and 39423