What is the Greatest Common Factor of 27400 and 27413?

Greatest common factor (GCF) of 27400 and 27413 is 1.

GCF(27400,27413) = 1

We will now calculate the prime factors of 27400 and 27413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27400 and 27413.

How to find the GCF of 27400 and 27413?

We will first find the prime factorization of 27400 and 27413. After we will calculate the factors of 27400 and 27413 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 27413

Prime factors of 27413 are 79, 347. Prime factorization of 27413 in exponential form is:

27413 = 79¹ × 347¹

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 27413

List of positive integer factors of 27413 that divides 27400 without a remainder.

1, 79, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27400 and 27413. The biggest common factor number is the GCF number.
So the greatest common factor 27400 and 27413 is 1.

Also check out the Least Common Multiple of 27400 and 27413