What is the Greatest Common Factor of 23961 and 23968?

Greatest common factor (GCF) of 23961 and 23968 is 7.

GCF(23961,23968) = 7

We will now calculate the prime factors of 23961 and 23968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23961 and 23968.

How to find the GCF of 23961 and 23968?

We will first find the prime factorization of 23961 and 23968. After we will calculate the factors of 23961 and 23968 and find the biggest common factor number .

Step-1: Prime Factorization of 23961

Prime factors of 23961 are 3, 7, 163. Prime factorization of 23961 in exponential form is:

23961 = 3¹ × 7² × 163¹

Step-2: Prime Factorization of 23968

Prime factors of 23968 are 2, 7, 107. Prime factorization of 23968 in exponential form is:

23968 = 2⁵ × 7¹ × 107¹

Step-3: Factors of 23961

List of positive integer factors of 23961 that divides 23961 without a remainder.

1, 3, 7, 21, 49, 147, 163, 489, 1141, 3423, 7987

Step-4: Factors of 23968

List of positive integer factors of 23968 that divides 23961 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 107, 112, 214, 224, 428, 749, 856, 1498, 1712, 2996, 3424, 5992, 11984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23961 and 23968. The biggest common factor number is the GCF number.
So the greatest common factor 23961 and 23968 is 7.

Also check out the Least Common Multiple of 23961 and 23968