What is the Greatest Common Factor of 27440 and 27454?

Greatest common factor (GCF) of 27440 and 27454 is 14.

GCF(27440,27454) = 14

We will now calculate the prime factors of 27440 and 27454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27440 and 27454.

How to find the GCF of 27440 and 27454?

We will first find the prime factorization of 27440 and 27454. After we will calculate the factors of 27440 and 27454 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 27454

Prime factors of 27454 are 2, 7, 37, 53. Prime factorization of 27454 in exponential form is:

27454 = 2¹ × 7¹ × 37¹ × 53¹

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 27454

List of positive integer factors of 27454 that divides 27440 without a remainder.

1, 2, 7, 14, 37, 53, 74, 106, 259, 371, 518, 742, 1961, 3922, 13727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27440 and 27454. The biggest common factor number is the GCF number.
So the greatest common factor 27440 and 27454 is 14.

Also check out the Least Common Multiple of 27440 and 27454