What is the Greatest Common Factor of 36397 and 36401?

Greatest common factor (GCF) of 36397 and 36401 is 1.

GCF(36397,36401) = 1

We will now calculate the prime factors of 36397 and 36401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36397 and 36401.

How to find the GCF of 36397 and 36401?

We will first find the prime factorization of 36397 and 36401. After we will calculate the factors of 36397 and 36401 and find the biggest common factor number .

Step-1: Prime Factorization of 36397

Prime factors of 36397 are 17, 2141. Prime factorization of 36397 in exponential form is:

36397 = 17¹ × 2141¹

Step-2: Prime Factorization of 36401

Prime factors of 36401 are 89, 409. Prime factorization of 36401 in exponential form is:

36401 = 89¹ × 409¹

Step-3: Factors of 36397

List of positive integer factors of 36397 that divides 36397 without a remainder.

1, 17, 2141

Step-4: Factors of 36401

List of positive integer factors of 36401 that divides 36397 without a remainder.

1, 89, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36397 and 36401. The biggest common factor number is the GCF number.
So the greatest common factor 36397 and 36401 is 1.

Also check out the Least Common Multiple of 36397 and 36401