What is the Greatest Common Factor of 23968 and 23972?

Greatest common factor (GCF) of 23968 and 23972 is 4.

GCF(23968,23972) = 4

We will now calculate the prime factors of 23968 and 23972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23968 and 23972.

How to find the GCF of 23968 and 23972?

We will first find the prime factorization of 23968 and 23972. After we will calculate the factors of 23968 and 23972 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 23972

Prime factors of 23972 are 2, 13, 461. Prime factorization of 23972 in exponential form is:

23972 = 2² × 13¹ × 461¹

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 23972

List of positive integer factors of 23972 that divides 23968 without a remainder.

1, 2, 4, 13, 26, 52, 461, 922, 1844, 5993, 11986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23968 and 23972. The biggest common factor number is the GCF number.
So the greatest common factor 23968 and 23972 is 4.

Also check out the Least Common Multiple of 23968 and 23972