What is the Greatest Common Factor of 27440 and 27445?

Greatest common factor (GCF) of 27440 and 27445 is 5.

GCF(27440,27445) = 5

We will now calculate the prime factors of 27440 and 27445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27440 and 27445.

How to find the GCF of 27440 and 27445?

We will first find the prime factorization of 27440 and 27445. After we will calculate the factors of 27440 and 27445 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 27445

Prime factors of 27445 are 5, 11, 499. Prime factorization of 27445 in exponential form is:

27445 = 5¹ × 11¹ × 499¹

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 27445

List of positive integer factors of 27445 that divides 27440 without a remainder.

1, 5, 11, 55, 499, 2495, 5489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27440 and 27445. The biggest common factor number is the GCF number.
So the greatest common factor 27440 and 27445 is 5.

Also check out the Least Common Multiple of 27440 and 27445