What is the Greatest Common Factor of 39414 and 39429?

Greatest common factor (GCF) of 39414 and 39429 is 3.

GCF(39414,39429) = 3

We will now calculate the prime factors of 39414 and 39429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39414 and 39429.

How to find the GCF of 39414 and 39429?

We will first find the prime factorization of 39414 and 39429. After we will calculate the factors of 39414 and 39429 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 39429

Prime factors of 39429 are 3, 13, 337. Prime factorization of 39429 in exponential form is:

39429 = 3² × 13¹ × 337¹

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 39429

List of positive integer factors of 39429 that divides 39414 without a remainder.

1, 3, 9, 13, 39, 117, 337, 1011, 3033, 4381, 13143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39414 and 39429. The biggest common factor number is the GCF number.
So the greatest common factor 39414 and 39429 is 3.

Also check out the Least Common Multiple of 39414 and 39429