What is the Greatest Common Factor of 22665 and 22680?

Greatest common factor (GCF) of 22665 and 22680 is 15.

GCF(22665,22680) = 15

We will now calculate the prime factors of 22665 and 22680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22665 and 22680.

How to find the GCF of 22665 and 22680?

We will first find the prime factorization of 22665 and 22680. After we will calculate the factors of 22665 and 22680 and find the biggest common factor number .

Step-1: Prime Factorization of 22665

Prime factors of 22665 are 3, 5, 1511. Prime factorization of 22665 in exponential form is:

22665 = 3¹ × 5¹ × 1511¹

Step-2: Prime Factorization of 22680

Prime factors of 22680 are 2, 3, 5, 7. Prime factorization of 22680 in exponential form is:

22680 = 2³ × 3⁴ × 5¹ × 7¹

Step-3: Factors of 22665

List of positive integer factors of 22665 that divides 22665 without a remainder.

1, 3, 5, 15, 1511, 4533, 7555

Step-4: Factors of 22680

List of positive integer factors of 22680 that divides 22665 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 81, 84, 90, 105, 108, 120, 126, 135, 140, 162, 168, 180, 189, 210, 216, 252, 270, 280, 315, 324, 360, 378, 405, 420, 504, 540, 567, 630, 648, 756, 810, 840, 945, 1080, 1134, 1260, 1512, 1620, 1890, 2268, 2520, 2835, 3240, 3780, 4536, 5670, 7560, 11340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22665 and 22680. The biggest common factor number is the GCF number.
So the greatest common factor 22665 and 22680 is 15.

Also check out the Least Common Multiple of 22665 and 22680