What is the Greatest Common Factor of 23335 and 23341?

Greatest common factor (GCF) of 23335 and 23341 is 1.

GCF(23335,23341) = 1

We will now calculate the prime factors of 23335 and 23341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23335 and 23341.

How to find the GCF of 23335 and 23341?

We will first find the prime factorization of 23335 and 23341. After we will calculate the factors of 23335 and 23341 and find the biggest common factor number .

Step-1: Prime Factorization of 23335

Prime factors of 23335 are 5, 13, 359. Prime factorization of 23335 in exponential form is:

23335 = 5¹ × 13¹ × 359¹

Step-2: Prime Factorization of 23341

Prime factors of 23341 are 17, 1373. Prime factorization of 23341 in exponential form is:

23341 = 17¹ × 1373¹

Step-3: Factors of 23335

List of positive integer factors of 23335 that divides 23335 without a remainder.

1, 5, 13, 65, 359, 1795, 4667

Step-4: Factors of 23341

List of positive integer factors of 23341 that divides 23335 without a remainder.

1, 17, 1373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23335 and 23341. The biggest common factor number is the GCF number.
So the greatest common factor 23335 and 23341 is 1.

Also check out the Least Common Multiple of 23335 and 23341