What is the Greatest Common Factor of 23565 and 23580?

Greatest common factor (GCF) of 23565 and 23580 is 15.

GCF(23565,23580) = 15

We will now calculate the prime factors of 23565 and 23580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23565 and 23580.

How to find the GCF of 23565 and 23580?

We will first find the prime factorization of 23565 and 23580. After we will calculate the factors of 23565 and 23580 and find the biggest common factor number .

Step-1: Prime Factorization of 23565

Prime factors of 23565 are 3, 5, 1571. Prime factorization of 23565 in exponential form is:

23565 = 3¹ × 5¹ × 1571¹

Step-2: Prime Factorization of 23580

Prime factors of 23580 are 2, 3, 5, 131. Prime factorization of 23580 in exponential form is:

23580 = 2² × 3² × 5¹ × 131¹

Step-3: Factors of 23565

List of positive integer factors of 23565 that divides 23565 without a remainder.

1, 3, 5, 15, 1571, 4713, 7855

Step-4: Factors of 23580

List of positive integer factors of 23580 that divides 23565 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 131, 180, 262, 393, 524, 655, 786, 1179, 1310, 1572, 1965, 2358, 2620, 3930, 4716, 5895, 7860, 11790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23565 and 23580. The biggest common factor number is the GCF number.
So the greatest common factor 23565 and 23580 is 15.

Also check out the Least Common Multiple of 23565 and 23580