What is the Greatest Common Factor of 22890 and 22896?

Greatest common factor (GCF) of 22890 and 22896 is 6.

GCF(22890,22896) = 6

We will now calculate the prime factors of 22890 and 22896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22890 and 22896.

How to find the GCF of 22890 and 22896?

We will first find the prime factorization of 22890 and 22896. After we will calculate the factors of 22890 and 22896 and find the biggest common factor number .

Step-1: Prime Factorization of 22890

Prime factors of 22890 are 2, 3, 5, 7, 109. Prime factorization of 22890 in exponential form is:

22890 = 2¹ × 3¹ × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 22896

Prime factors of 22896 are 2, 3, 53. Prime factorization of 22896 in exponential form is:

22896 = 2⁴ × 3³ × 53¹

Step-3: Factors of 22890

List of positive integer factors of 22890 that divides 22890 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 109, 210, 218, 327, 545, 654, 763, 1090, 1526, 1635, 2289, 3270, 3815, 4578, 7630, 11445

Step-4: Factors of 22896

List of positive integer factors of 22896 that divides 22890 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 53, 54, 72, 106, 108, 144, 159, 212, 216, 318, 424, 432, 477, 636, 848, 954, 1272, 1431, 1908, 2544, 2862, 3816, 5724, 7632, 11448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22890 and 22896. The biggest common factor number is the GCF number.
So the greatest common factor 22890 and 22896 is 6.

Also check out the Least Common Multiple of 22890 and 22896