What is the Greatest Common Factor of 23840 and 23852?

Greatest common factor (GCF) of 23840 and 23852 is 4.

GCF(23840,23852) = 4

We will now calculate the prime factors of 23840 and 23852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23840 and 23852.

How to find the GCF of 23840 and 23852?

We will first find the prime factorization of 23840 and 23852. After we will calculate the factors of 23840 and 23852 and find the biggest common factor number .

Step-1: Prime Factorization of 23840

Prime factors of 23840 are 2, 5, 149. Prime factorization of 23840 in exponential form is:

23840 = 2⁵ × 5¹ × 149¹

Step-2: Prime Factorization of 23852

Prime factors of 23852 are 2, 67, 89. Prime factorization of 23852 in exponential form is:

23852 = 2² × 67¹ × 89¹

Step-3: Factors of 23840

List of positive integer factors of 23840 that divides 23840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 149, 160, 298, 596, 745, 1192, 1490, 2384, 2980, 4768, 5960, 11920

Step-4: Factors of 23852

List of positive integer factors of 23852 that divides 23840 without a remainder.

1, 2, 4, 67, 89, 134, 178, 268, 356, 5963, 11926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23840 and 23852. The biggest common factor number is the GCF number.
So the greatest common factor 23840 and 23852 is 4.

Also check out the Least Common Multiple of 23840 and 23852