What is the Greatest Common Factor of 27420 and 27429?

Greatest common factor (GCF) of 27420 and 27429 is 3.

GCF(27420,27429) = 3

We will now calculate the prime factors of 27420 and 27429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27420 and 27429.

How to find the GCF of 27420 and 27429?

We will first find the prime factorization of 27420 and 27429. After we will calculate the factors of 27420 and 27429 and find the biggest common factor number .

Step-1: Prime Factorization of 27420

Prime factors of 27420 are 2, 3, 5, 457. Prime factorization of 27420 in exponential form is:

27420 = 2² × 3¹ × 5¹ × 457¹

Step-2: Prime Factorization of 27429

Prime factors of 27429 are 3, 41, 223. Prime factorization of 27429 in exponential form is:

27429 = 3¹ × 41¹ × 223¹

Step-3: Factors of 27420

List of positive integer factors of 27420 that divides 27420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 457, 914, 1371, 1828, 2285, 2742, 4570, 5484, 6855, 9140, 13710

Step-4: Factors of 27429

List of positive integer factors of 27429 that divides 27420 without a remainder.

1, 3, 41, 123, 223, 669, 9143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27420 and 27429. The biggest common factor number is the GCF number.
So the greatest common factor 27420 and 27429 is 3.

Also check out the Least Common Multiple of 27420 and 27429