What is the Greatest Common Factor of 22666 and 22680?

Greatest common factor (GCF) of 22666 and 22680 is 14.

GCF(22666,22680) = 14

We will now calculate the prime factors of 22666 and 22680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22666 and 22680.

How to find the GCF of 22666 and 22680?

We will first find the prime factorization of 22666 and 22680. After we will calculate the factors of 22666 and 22680 and find the biggest common factor number .

Step-1: Prime Factorization of 22666

Prime factors of 22666 are 2, 7, 1619. Prime factorization of 22666 in exponential form is:

22666 = 2¹ × 7¹ × 1619¹

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 22666

List of positive integer factors of 22666 that divides 22666 without a remainder.

1, 2, 7, 14, 1619, 3238, 11333

Step-4: Factors of 22680

List of positive integer factors of 22680 that divides 22666 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 22666 and 22680. The biggest common factor number is the GCF number.
So the greatest common factor 22666 and 22680 is 14.

Also check out the Least Common Multiple of 22666 and 22680