What is the Greatest Common Factor of 22680 and 22692?

Greatest common factor (GCF) of 22680 and 22692 is 12.

GCF(22680,22692) = 12

We will now calculate the prime factors of 22680 and 22692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22680 and 22692.

How to find the GCF of 22680 and 22692?

We will first find the prime factorization of 22680 and 22692. After we will calculate the factors of 22680 and 22692 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22692

Prime factors of 22692 are 2, 3, 31, 61. Prime factorization of 22692 in exponential form is:

22692 = 2² × 3¹ × 31¹ × 61¹

Step-3: Factors of 22680

List of positive integer factors of 22680 that divides 22680 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

Step-4: Factors of 22692

List of positive integer factors of 22692 that divides 22680 without a remainder.

1, 2, 3, 4, 6, 12, 31, 61, 62, 93, 122, 124, 183, 186, 244, 366, 372, 732, 1891, 3782, 5673, 7564, 11346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22680 and 22692. The biggest common factor number is the GCF number.
So the greatest common factor 22680 and 22692 is 12.

Also check out the Least Common Multiple of 22680 and 22692