What is the Greatest Common Factor of 23837 and 23848?

Greatest common factor (GCF) of 23837 and 23848 is 11.

GCF(23837,23848) = 11

We will now calculate the prime factors of 23837 and 23848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23837 and 23848.

How to find the GCF of 23837 and 23848?

We will first find the prime factorization of 23837 and 23848. After we will calculate the factors of 23837 and 23848 and find the biggest common factor number .

Step-1: Prime Factorization of 23837

Prime factors of 23837 are 11, 197. Prime factorization of 23837 in exponential form is:

23837 = 11² × 197¹

Step-2: Prime Factorization of 23848

Prime factors of 23848 are 2, 11, 271. Prime factorization of 23848 in exponential form is:

23848 = 2³ × 11¹ × 271¹

Step-3: Factors of 23837

List of positive integer factors of 23837 that divides 23837 without a remainder.

1, 11, 121, 197, 2167

Step-4: Factors of 23848

List of positive integer factors of 23848 that divides 23837 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 271, 542, 1084, 2168, 2981, 5962, 11924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23837 and 23848. The biggest common factor number is the GCF number.
So the greatest common factor 23837 and 23848 is 11.

Also check out the Least Common Multiple of 23837 and 23848