What is the Greatest Common Factor of 27398 and 27403?

Greatest common factor (GCF) of 27398 and 27403 is 1.

GCF(27398,27403) = 1

We will now calculate the prime factors of 27398 and 27403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27398 and 27403.

How to find the GCF of 27398 and 27403?

We will first find the prime factorization of 27398 and 27403. After we will calculate the factors of 27398 and 27403 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 27403

Prime factors of 27403 are 67, 409. Prime factorization of 27403 in exponential form is:

27403 = 67¹ × 409¹

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 27403

List of positive integer factors of 27403 that divides 27398 without a remainder.

1, 67, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27398 and 27403. The biggest common factor number is the GCF number.
So the greatest common factor 27398 and 27403 is 1.

Also check out the Least Common Multiple of 27398 and 27403