What is the Greatest Common Factor of 23830 and 23840?

Greatest common factor (GCF) of 23830 and 23840 is 10.

GCF(23830,23840) = 10

We will now calculate the prime factors of 23830 and 23840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23830 and 23840.

How to find the GCF of 23830 and 23840?

We will first find the prime factorization of 23830 and 23840. After we will calculate the factors of 23830 and 23840 and find the biggest common factor number .

Step-1: Prime Factorization of 23830

Prime factors of 23830 are 2, 5, 2383. Prime factorization of 23830 in exponential form is:

23830 = 2¹ × 5¹ × 2383¹

Step-2: 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-3: Factors of 23830

List of positive integer factors of 23830 that divides 23830 without a remainder.

1, 2, 5, 10, 2383, 4766, 11915

Step-4: Factors of 23840

List of positive integer factors of 23840 that divides 23830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23830 and 23840. The biggest common factor number is the GCF number.
So the greatest common factor 23830 and 23840 is 10.

Also check out the Least Common Multiple of 23830 and 23840