What is the Greatest Common Factor of 23335 and 23355?

Greatest common factor (GCF) of 23335 and 23355 is 5.

GCF(23335,23355) = 5

We will now calculate the prime factors of 23335 and 23355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23335 and 23355.

How to find the GCF of 23335 and 23355?

We will first find the prime factorization of 23335 and 23355. After we will calculate the factors of 23335 and 23355 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 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 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 23355

List of positive integer factors of 23355 that divides 23335 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 23335 and 23355. The biggest common factor number is the GCF number.
So the greatest common factor 23335 and 23355 is 5.

Also check out the Least Common Multiple of 23335 and 23355