What is the Greatest Common Factor of 27440 and 27452?

Greatest common factor (GCF) of 27440 and 27452 is 4.

GCF(27440,27452) = 4

We will now calculate the prime factors of 27440 and 27452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27440 and 27452.

How to find the GCF of 27440 and 27452?

We will first find the prime factorization of 27440 and 27452. After we will calculate the factors of 27440 and 27452 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27452

Prime factors of 27452 are 2, 6863. Prime factorization of 27452 in exponential form is:

27452 = 2² × 6863¹

Step-3: Factors of 27440

List of positive integer factors of 27440 that divides 27440 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

Step-4: Factors of 27452

List of positive integer factors of 27452 that divides 27440 without a remainder.

1, 2, 4, 6863, 13726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27440 and 27452. The biggest common factor number is the GCF number.
So the greatest common factor 27440 and 27452 is 4.

Also check out the Least Common Multiple of 27440 and 27452