What is the Greatest Common Factor of 27440 and 27444?

Greatest common factor (GCF) of 27440 and 27444 is 4.

GCF(27440,27444) = 4

We will now calculate the prime factors of 27440 and 27444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27440 and 27444.

How to find the GCF of 27440 and 27444?

We will first find the prime factorization of 27440 and 27444. After we will calculate the factors of 27440 and 27444 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 27444

Prime factors of 27444 are 2, 3, 2287. Prime factorization of 27444 in exponential form is:

27444 = 2² × 3¹ × 2287¹

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 27444

List of positive integer factors of 27444 that divides 27440 without a remainder.

1, 2, 3, 4, 6, 12, 2287, 4574, 6861, 9148, 13722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27440 and 27444. The biggest common factor number is the GCF number.
So the greatest common factor 27440 and 27444 is 4.

Also check out the Least Common Multiple of 27440 and 27444