What is the Greatest Common Factor of 32393 and 32407?

Greatest common factor (GCF) of 32393 and 32407 is 1.

GCF(32393,32407) = 1

We will now calculate the prime factors of 32393 and 32407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32393 and 32407.

How to find the GCF of 32393 and 32407?

We will first find the prime factorization of 32393 and 32407. After we will calculate the factors of 32393 and 32407 and find the biggest common factor number .

Step-1: Prime Factorization of 32393

Prime factors of 32393 are 29, 1117. Prime factorization of 32393 in exponential form is:

32393 = 29¹ × 1117¹

Step-2: Prime Factorization of 32407

Prime factors of 32407 are 23, 1409. Prime factorization of 32407 in exponential form is:

32407 = 23¹ × 1409¹

Step-3: Factors of 32393

List of positive integer factors of 32393 that divides 32393 without a remainder.

1, 29, 1117

Step-4: Factors of 32407

List of positive integer factors of 32407 that divides 32393 without a remainder.

1, 23, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32393 and 32407. The biggest common factor number is the GCF number.
So the greatest common factor 32393 and 32407 is 1.

Also check out the Least Common Multiple of 32393 and 32407