What is the Greatest Common Factor of 23322 and 23335?

Greatest common factor (GCF) of 23322 and 23335 is 13.

GCF(23322,23335) = 13

We will now calculate the prime factors of 23322 and 23335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23322 and 23335.

How to find the GCF of 23322 and 23335?

We will first find the prime factorization of 23322 and 23335. After we will calculate the factors of 23322 and 23335 and find the biggest common factor number .

Step-1: Prime Factorization of 23322

Prime factors of 23322 are 2, 3, 13, 23. Prime factorization of 23322 in exponential form is:

23322 = 2¹ × 3¹ × 13² × 23¹

Step-2: 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-3: Factors of 23322

List of positive integer factors of 23322 that divides 23322 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 169, 299, 338, 507, 598, 897, 1014, 1794, 3887, 7774, 11661

Step-4: Factors of 23335

List of positive integer factors of 23335 that divides 23322 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23322 and 23335. The biggest common factor number is the GCF number.
So the greatest common factor 23322 and 23335 is 13.

Also check out the Least Common Multiple of 23322 and 23335