What is the Greatest Common Factor of 23780 and 23788?

Greatest common factor (GCF) of 23780 and 23788 is 4.

GCF(23780,23788) = 4

We will now calculate the prime factors of 23780 and 23788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23780 and 23788.

How to find the GCF of 23780 and 23788?

We will first find the prime factorization of 23780 and 23788. After we will calculate the factors of 23780 and 23788 and find the biggest common factor number .

Step-1: Prime Factorization of 23780

Prime factors of 23780 are 2, 5, 29, 41. Prime factorization of 23780 in exponential form is:

23780 = 2² × 5¹ × 29¹ × 41¹

Step-2: Prime Factorization of 23788

Prime factors of 23788 are 2, 19, 313. Prime factorization of 23788 in exponential form is:

23788 = 2² × 19¹ × 313¹

Step-3: Factors of 23780

List of positive integer factors of 23780 that divides 23780 without a remainder.

1, 2, 4, 5, 10, 20, 29, 41, 58, 82, 116, 145, 164, 205, 290, 410, 580, 820, 1189, 2378, 4756, 5945, 11890

Step-4: Factors of 23788

List of positive integer factors of 23788 that divides 23780 without a remainder.

1, 2, 4, 19, 38, 76, 313, 626, 1252, 5947, 11894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23780 and 23788. The biggest common factor number is the GCF number.
So the greatest common factor 23780 and 23788 is 4.

Also check out the Least Common Multiple of 23780 and 23788