What is the Greatest Common Factor of 23968 and 23976?

Greatest common factor (GCF) of 23968 and 23976 is 8.

GCF(23968,23976) = 8

We will now calculate the prime factors of 23968 and 23976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23968 and 23976.

How to find the GCF of 23968 and 23976?

We will first find the prime factorization of 23968 and 23976. After we will calculate the factors of 23968 and 23976 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23976

Prime factors of 23976 are 2, 3, 37. Prime factorization of 23976 in exponential form is:

23976 = 2³ × 3⁴ × 37¹

Step-3: Factors of 23968

List of positive integer factors of 23968 that divides 23968 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

Step-4: Factors of 23976

List of positive integer factors of 23976 that divides 23968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 81, 108, 111, 148, 162, 216, 222, 296, 324, 333, 444, 648, 666, 888, 999, 1332, 1998, 2664, 2997, 3996, 5994, 7992, 11988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23968 and 23976. The biggest common factor number is the GCF number.
So the greatest common factor 23968 and 23976 is 8.

Also check out the Least Common Multiple of 23968 and 23976