What is the Greatest Common Factor of 29427 and 29439?

Greatest common factor (GCF) of 29427 and 29439 is 3.

GCF(29427,29439) = 3

We will now calculate the prime factors of 29427 and 29439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29427 and 29439.

How to find the GCF of 29427 and 29439?

We will first find the prime factorization of 29427 and 29439. After we will calculate the factors of 29427 and 29439 and find the biggest common factor number .

Step-1: Prime Factorization of 29427

Prime factors of 29427 are 3, 17, 577. Prime factorization of 29427 in exponential form is:

29427 = 3¹ × 17¹ × 577¹

Step-2: Prime Factorization of 29439

Prime factors of 29439 are 3, 3271. Prime factorization of 29439 in exponential form is:

29439 = 3² × 3271¹

Step-3: Factors of 29427

List of positive integer factors of 29427 that divides 29427 without a remainder.

1, 3, 17, 51, 577, 1731, 9809

Step-4: Factors of 29439

List of positive integer factors of 29439 that divides 29427 without a remainder.

1, 3, 9, 3271, 9813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29427 and 29439. The biggest common factor number is the GCF number.
So the greatest common factor 29427 and 29439 is 3.

Also check out the Least Common Multiple of 29427 and 29439