What is the Greatest Common Factor of 27440 and 27460?

Greatest common factor (GCF) of 27440 and 27460 is 20.

GCF(27440,27460) = 20

We will now calculate the prime factors of 27440 and 27460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27440 and 27460.

How to find the GCF of 27440 and 27460?

We will first find the prime factorization of 27440 and 27460. After we will calculate the factors of 27440 and 27460 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 27460

Prime factors of 27460 are 2, 5, 1373. Prime factorization of 27460 in exponential form is:

27460 = 2² × 5¹ × 1373¹

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 27460

List of positive integer factors of 27460 that divides 27440 without a remainder.

1, 2, 4, 5, 10, 20, 1373, 2746, 5492, 6865, 13730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27440 and 27460. The biggest common factor number is the GCF number.
So the greatest common factor 27440 and 27460 is 20.

Also check out the Least Common Multiple of 27440 and 27460