What is the Greatest Common Factor of 23765 and 23780?

Greatest common factor (GCF) of 23765 and 23780 is 5.

GCF(23765,23780) = 5

We will now calculate the prime factors of 23765 and 23780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23765 and 23780.

How to find the GCF of 23765 and 23780?

We will first find the prime factorization of 23765 and 23780. After we will calculate the factors of 23765 and 23780 and find the biggest common factor number .

Step-1: Prime Factorization of 23765

Prime factors of 23765 are 5, 7, 97. Prime factorization of 23765 in exponential form is:

23765 = 5¹ × 7² × 97¹

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 23765

List of positive integer factors of 23765 that divides 23765 without a remainder.

1, 5, 7, 35, 49, 97, 245, 485, 679, 3395, 4753

Step-4: Factors of 23780

List of positive integer factors of 23780 that divides 23765 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 23765 and 23780. The biggest common factor number is the GCF number.
So the greatest common factor 23765 and 23780 is 5.

Also check out the Least Common Multiple of 23765 and 23780