What is the Greatest Common Factor of 23842 and 23855?

Greatest common factor (GCF) of 23842 and 23855 is 13.

GCF(23842,23855) = 13

We will now calculate the prime factors of 23842 and 23855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23842 and 23855.

How to find the GCF of 23842 and 23855?

We will first find the prime factorization of 23842 and 23855. After we will calculate the factors of 23842 and 23855 and find the biggest common factor number .

Step-1: Prime Factorization of 23842

Prime factors of 23842 are 2, 7, 13, 131. Prime factorization of 23842 in exponential form is:

23842 = 2¹ × 7¹ × 13¹ × 131¹

Step-2: Prime Factorization of 23855

Prime factors of 23855 are 5, 13, 367. Prime factorization of 23855 in exponential form is:

23855 = 5¹ × 13¹ × 367¹

Step-3: Factors of 23842

List of positive integer factors of 23842 that divides 23842 without a remainder.

1, 2, 7, 13, 14, 26, 91, 131, 182, 262, 917, 1703, 1834, 3406, 11921

Step-4: Factors of 23855

List of positive integer factors of 23855 that divides 23842 without a remainder.

1, 5, 13, 65, 367, 1835, 4771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23842 and 23855. The biggest common factor number is the GCF number.
So the greatest common factor 23842 and 23855 is 13.

Also check out the Least Common Multiple of 23842 and 23855