What is the Greatest Common Factor of 23341 and 23355?

Greatest common factor (GCF) of 23341 and 23355 is 1.

GCF(23341,23355) = 1

We will now calculate the prime factors of 23341 and 23355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23341 and 23355.

How to find the GCF of 23341 and 23355?

We will first find the prime factorization of 23341 and 23355. After we will calculate the factors of 23341 and 23355 and find the biggest common factor number .

Step-1: Prime Factorization of 23341

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

23341 = 17¹ × 1373¹

Step-2: Prime Factorization of 23355

Prime factors of 23355 are 3, 5, 173. Prime factorization of 23355 in exponential form is:

23355 = 3³ × 5¹ × 173¹

Step-3: Factors of 23341

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

1, 17, 1373

Step-4: Factors of 23355

List of positive integer factors of 23355 that divides 23341 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 173, 519, 865, 1557, 2595, 4671, 7785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23341 and 23355. The biggest common factor number is the GCF number.
So the greatest common factor 23341 and 23355 is 1.

Also check out the Least Common Multiple of 23341 and 23355