What is the Greatest Common Factor of 23844 and 23853?

Greatest common factor (GCF) of 23844 and 23853 is 3.

GCF(23844,23853) = 3

We will now calculate the prime factors of 23844 and 23853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23844 and 23853.

How to find the GCF of 23844 and 23853?

We will first find the prime factorization of 23844 and 23853. After we will calculate the factors of 23844 and 23853 and find the biggest common factor number .

Step-1: Prime Factorization of 23844

Prime factors of 23844 are 2, 3, 1987. Prime factorization of 23844 in exponential form is:

23844 = 2² × 3¹ × 1987¹

Step-2: Prime Factorization of 23853

Prime factors of 23853 are 3, 7951. Prime factorization of 23853 in exponential form is:

23853 = 3¹ × 7951¹

Step-3: Factors of 23844

List of positive integer factors of 23844 that divides 23844 without a remainder.

1, 2, 3, 4, 6, 12, 1987, 3974, 5961, 7948, 11922

Step-4: Factors of 23853

List of positive integer factors of 23853 that divides 23844 without a remainder.

1, 3, 7951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23844 and 23853. The biggest common factor number is the GCF number.
So the greatest common factor 23844 and 23853 is 3.

Also check out the Least Common Multiple of 23844 and 23853