What is the Greatest Common Factor of 23958 and 23969?

Greatest common factor (GCF) of 23958 and 23969 is 11.

GCF(23958,23969) = 11

We will now calculate the prime factors of 23958 and 23969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23958 and 23969.

How to find the GCF of 23958 and 23969?

We will first find the prime factorization of 23958 and 23969. After we will calculate the factors of 23958 and 23969 and find the biggest common factor number .

Step-1: Prime Factorization of 23958

Prime factors of 23958 are 2, 3, 11. Prime factorization of 23958 in exponential form is:

23958 = 2¹ × 3² × 11³

Step-2: Prime Factorization of 23969

Prime factors of 23969 are 11, 2179. Prime factorization of 23969 in exponential form is:

23969 = 11¹ × 2179¹

Step-3: Factors of 23958

List of positive integer factors of 23958 that divides 23958 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 1331, 2178, 2662, 3993, 7986, 11979

Step-4: Factors of 23969

List of positive integer factors of 23969 that divides 23958 without a remainder.

1, 11, 2179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23958 and 23969. The biggest common factor number is the GCF number.
So the greatest common factor 23958 and 23969 is 11.

Also check out the Least Common Multiple of 23958 and 23969