What is the Greatest Common Factor of 23954 and 23968?

Greatest common factor (GCF) of 23954 and 23968 is 14.

GCF(23954,23968) = 14

We will now calculate the prime factors of 23954 and 23968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23954 and 23968.

How to find the GCF of 23954 and 23968?

We will first find the prime factorization of 23954 and 23968. After we will calculate the factors of 23954 and 23968 and find the biggest common factor number .

Step-1: Prime Factorization of 23954

Prime factors of 23954 are 2, 7, 29, 59. Prime factorization of 23954 in exponential form is:

23954 = 2¹ × 7¹ × 29¹ × 59¹

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 23954

List of positive integer factors of 23954 that divides 23954 without a remainder.

1, 2, 7, 14, 29, 58, 59, 118, 203, 406, 413, 826, 1711, 3422, 11977

Step-4: Factors of 23968

List of positive integer factors of 23968 that divides 23954 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 23954 and 23968. The biggest common factor number is the GCF number.
So the greatest common factor 23954 and 23968 is 14.

Also check out the Least Common Multiple of 23954 and 23968