What is the Greatest Common Factor of 27420 and 27440?

Greatest common factor (GCF) of 27420 and 27440 is 20.

GCF(27420,27440) = 20

We will now calculate the prime factors of 27420 and 27440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27420 and 27440.

How to find the GCF of 27420 and 27440?

We will first find the prime factorization of 27420 and 27440. After we will calculate the factors of 27420 and 27440 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 27440

Prime factors of 27440 are 2, 5, 7. Prime factorization of 27440 in exponential form is:

27440 = 2⁴ × 5¹ × 7³

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 27440

List of positive integer factors of 27440 that divides 27420 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 343, 392, 490, 560, 686, 784, 980, 1372, 1715, 1960, 2744, 3430, 3920, 5488, 6860, 13720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27420 and 27440. The biggest common factor number is the GCF number.
So the greatest common factor 27420 and 27440 is 20.

Also check out the Least Common Multiple of 27420 and 27440