What is the Greatest Common Factor of 30397 and 30401?

Greatest common factor (GCF) of 30397 and 30401 is 1.

GCF(30397,30401) = 1

We will now calculate the prime factors of 30397 and 30401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30397 and 30401.

How to find the GCF of 30397 and 30401?

We will first find the prime factorization of 30397 and 30401. After we will calculate the factors of 30397 and 30401 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 30401

Prime factors of 30401 are 7, 43, 101. Prime factorization of 30401 in exponential form is:

30401 = 7¹ × 43¹ × 101¹

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 30401

List of positive integer factors of 30401 that divides 30397 without a remainder.

1, 7, 43, 101, 301, 707, 4343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30397 and 30401. The biggest common factor number is the GCF number.
So the greatest common factor 30397 and 30401 is 1.

Also check out the Least Common Multiple of 30397 and 30401