What is the Greatest Common Factor of 23774 and 23780?

Greatest common factor (GCF) of 23774 and 23780 is 2.

GCF(23774,23780) = 2

We will now calculate the prime factors of 23774 and 23780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23774 and 23780.

How to find the GCF of 23774 and 23780?

We will first find the prime factorization of 23774 and 23780. After we will calculate the factors of 23774 and 23780 and find the biggest common factor number .

Step-1: Prime Factorization of 23774

Prime factors of 23774 are 2, 11887. Prime factorization of 23774 in exponential form is:

23774 = 2¹ × 11887¹

Step-2: 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-3: Factors of 23774

List of positive integer factors of 23774 that divides 23774 without a remainder.

1, 2, 11887

Step-4: Factors of 23780

List of positive integer factors of 23780 that divides 23774 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23774 and 23780. The biggest common factor number is the GCF number.
So the greatest common factor 23774 and 23780 is 2.

Also check out the Least Common Multiple of 23774 and 23780