What is the Greatest Common Factor of 22668 and 22680?

Greatest common factor (GCF) of 22668 and 22680 is 12.

GCF(22668,22680) = 12

We will now calculate the prime factors of 22668 and 22680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22668 and 22680.

How to find the GCF of 22668 and 22680?

We will first find the prime factorization of 22668 and 22680. After we will calculate the factors of 22668 and 22680 and find the biggest common factor number .

Step-1: Prime Factorization of 22668

Prime factors of 22668 are 2, 3, 1889. Prime factorization of 22668 in exponential form is:

22668 = 2² × 3¹ × 1889¹

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 22668

List of positive integer factors of 22668 that divides 22668 without a remainder.

1, 2, 3, 4, 6, 12, 1889, 3778, 5667, 7556, 11334

Step-4: Factors of 22680

List of positive integer factors of 22680 that divides 22668 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 22668 and 22680. The biggest common factor number is the GCF number.
So the greatest common factor 22668 and 22680 is 12.

Also check out the Least Common Multiple of 22668 and 22680