What is the Greatest Common Factor of 27400 and 27418?

Greatest common factor (GCF) of 27400 and 27418 is 2.

GCF(27400,27418) = 2

We will now calculate the prime factors of 27400 and 27418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27400 and 27418.

How to find the GCF of 27400 and 27418?

We will first find the prime factorization of 27400 and 27418. After we will calculate the factors of 27400 and 27418 and find the biggest common factor number .

Step-1: Prime Factorization of 27400

Prime factors of 27400 are 2, 5, 137. Prime factorization of 27400 in exponential form is:

27400 = 2³ × 5² × 137¹

Step-2: Prime Factorization of 27418

Prime factors of 27418 are 2, 13709. Prime factorization of 27418 in exponential form is:

27418 = 2¹ × 13709¹

Step-3: Factors of 27400

List of positive integer factors of 27400 that divides 27400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 137, 200, 274, 548, 685, 1096, 1370, 2740, 3425, 5480, 6850, 13700

Step-4: Factors of 27418

List of positive integer factors of 27418 that divides 27400 without a remainder.

1, 2, 13709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27400 and 27418. The biggest common factor number is the GCF number.
So the greatest common factor 27400 and 27418 is 2.

Also check out the Least Common Multiple of 27400 and 27418