What is the Greatest Common Factor of 23827 and 23840?

Greatest common factor (GCF) of 23827 and 23840 is 1.

GCF(23827,23840) = 1

We will now calculate the prime factors of 23827 and 23840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23827 and 23840.

How to find the GCF of 23827 and 23840?

We will first find the prime factorization of 23827 and 23840. After we will calculate the factors of 23827 and 23840 and find the biggest common factor number .

Step-1: Prime Factorization of 23827

Prime factors of 23827 are 23827. Prime factorization of 23827 in exponential form is:

23827 = 23827¹

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 23827

List of positive integer factors of 23827 that divides 23827 without a remainder.

Step-4: Factors of 23840

List of positive integer factors of 23840 that divides 23827 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 23827 and 23840. The biggest common factor number is the GCF number.
So the greatest common factor 23827 and 23840 is 1.

Also check out the Least Common Multiple of 23827 and 23840