What is the Greatest Common Factor of 23835 and 23849?

Greatest common factor (GCF) of 23835 and 23849 is 7.

GCF(23835,23849) = 7

We will now calculate the prime factors of 23835 and 23849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23835 and 23849.

How to find the GCF of 23835 and 23849?

We will first find the prime factorization of 23835 and 23849. After we will calculate the factors of 23835 and 23849 and find the biggest common factor number .

Step-1: Prime Factorization of 23835

Prime factors of 23835 are 3, 5, 7, 227. Prime factorization of 23835 in exponential form is:

23835 = 3¹ × 5¹ × 7¹ × 227¹

Step-2: Prime Factorization of 23849

Prime factors of 23849 are 7, 3407. Prime factorization of 23849 in exponential form is:

23849 = 7¹ × 3407¹

Step-3: Factors of 23835

List of positive integer factors of 23835 that divides 23835 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 227, 681, 1135, 1589, 3405, 4767, 7945

Step-4: Factors of 23849

List of positive integer factors of 23849 that divides 23835 without a remainder.

1, 7, 3407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23835 and 23849. The biggest common factor number is the GCF number.
So the greatest common factor 23835 and 23849 is 7.

Also check out the Least Common Multiple of 23835 and 23849