What is the Greatest Common Factor of 27424 and 27440?

Greatest common factor (GCF) of 27424 and 27440 is 16.

GCF(27424,27440) = 16

We will now calculate the prime factors of 27424 and 27440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27424 and 27440.

How to find the GCF of 27424 and 27440?

We will first find the prime factorization of 27424 and 27440. After we will calculate the factors of 27424 and 27440 and find the biggest common factor number .

Step-1: Prime Factorization of 27424

Prime factors of 27424 are 2, 857. Prime factorization of 27424 in exponential form is:

27424 = 2⁵ × 857¹

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 27424

List of positive integer factors of 27424 that divides 27424 without a remainder.

1, 2, 4, 8, 16, 32, 857, 1714, 3428, 6856, 13712

Step-4: Factors of 27440

List of positive integer factors of 27440 that divides 27424 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 27424 and 27440. The biggest common factor number is the GCF number.
So the greatest common factor 27424 and 27440 is 16.

Also check out the Least Common Multiple of 27424 and 27440