What is the Greatest Common Factor of 23959 and 23972?

Greatest common factor (GCF) of 23959 and 23972 is 13.

GCF(23959,23972) = 13

We will now calculate the prime factors of 23959 and 23972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23959 and 23972.

How to find the GCF of 23959 and 23972?

We will first find the prime factorization of 23959 and 23972. After we will calculate the factors of 23959 and 23972 and find the biggest common factor number .

Step-1: Prime Factorization of 23959

Prime factors of 23959 are 13, 19, 97. Prime factorization of 23959 in exponential form is:

23959 = 13¹ × 19¹ × 97¹

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 23959

List of positive integer factors of 23959 that divides 23959 without a remainder.

1, 13, 19, 97, 247, 1261, 1843

Step-4: Factors of 23972

List of positive integer factors of 23972 that divides 23959 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 23959 and 23972. The biggest common factor number is the GCF number.
So the greatest common factor 23959 and 23972 is 13.

Also check out the Least Common Multiple of 23959 and 23972