What is the Greatest Common Factor of 23960 and 23972?

Greatest common factor (GCF) of 23960 and 23972 is 4.

GCF(23960,23972) = 4

We will now calculate the prime factors of 23960 and 23972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23960 and 23972.

How to find the GCF of 23960 and 23972?

We will first find the prime factorization of 23960 and 23972. After we will calculate the factors of 23960 and 23972 and find the biggest common factor number .

Step-1: Prime Factorization of 23960

Prime factors of 23960 are 2, 5, 599. Prime factorization of 23960 in exponential form is:

23960 = 2³ × 5¹ × 599¹

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 23960

List of positive integer factors of 23960 that divides 23960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 599, 1198, 2396, 2995, 4792, 5990, 11980

Step-4: Factors of 23972

List of positive integer factors of 23972 that divides 23960 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 23960 and 23972. The biggest common factor number is the GCF number.
So the greatest common factor 23960 and 23972 is 4.

Also check out the Least Common Multiple of 23960 and 23972