What is the Greatest Common Factor of 30397 and 30404?

Greatest common factor (GCF) of 30397 and 30404 is 1.

GCF(30397,30404) = 1

We will now calculate the prime factors of 30397 and 30404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30397 and 30404.

How to find the GCF of 30397 and 30404?

We will first find the prime factorization of 30397 and 30404. After we will calculate the factors of 30397 and 30404 and find the biggest common factor number .

Step-1: Prime Factorization of 30397

Prime factors of 30397 are 113, 269. Prime factorization of 30397 in exponential form is:

30397 = 113¹ × 269¹

Step-2: Prime Factorization of 30404

Prime factors of 30404 are 2, 11, 691. Prime factorization of 30404 in exponential form is:

30404 = 2² × 11¹ × 691¹

Step-3: Factors of 30397

List of positive integer factors of 30397 that divides 30397 without a remainder.

1, 113, 269

Step-4: Factors of 30404

List of positive integer factors of 30404 that divides 30397 without a remainder.

1, 2, 4, 11, 22, 44, 691, 1382, 2764, 7601, 15202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30397 and 30404. The biggest common factor number is the GCF number.
So the greatest common factor 30397 and 30404 is 1.

Also check out the Least Common Multiple of 30397 and 30404