What is the Greatest Common Factor of 27398 and 27406?

Greatest common factor (GCF) of 27398 and 27406 is 2.

GCF(27398,27406) = 2

We will now calculate the prime factors of 27398 and 27406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27398 and 27406.

How to find the GCF of 27398 and 27406?

We will first find the prime factorization of 27398 and 27406. After we will calculate the factors of 27398 and 27406 and find the biggest common factor number .

Step-1: Prime Factorization of 27398

Prime factors of 27398 are 2, 7, 19, 103. Prime factorization of 27398 in exponential form is:

27398 = 2¹ × 7¹ × 19¹ × 103¹

Step-2: Prime Factorization of 27406

Prime factors of 27406 are 2, 71, 193. Prime factorization of 27406 in exponential form is:

27406 = 2¹ × 71¹ × 193¹

Step-3: Factors of 27398

List of positive integer factors of 27398 that divides 27398 without a remainder.

1, 2, 7, 14, 19, 38, 103, 133, 206, 266, 721, 1442, 1957, 3914, 13699

Step-4: Factors of 27406

List of positive integer factors of 27406 that divides 27398 without a remainder.

1, 2, 71, 142, 193, 386, 13703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27398 and 27406. The biggest common factor number is the GCF number.
So the greatest common factor 27398 and 27406 is 2.

Also check out the Least Common Multiple of 27398 and 27406