What is the Greatest Common Factor of 22833 and 22848?

Greatest common factor (GCF) of 22833 and 22848 is 3.

GCF(22833,22848) = 3

We will now calculate the prime factors of 22833 and 22848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22833 and 22848.

How to find the GCF of 22833 and 22848?

We will first find the prime factorization of 22833 and 22848. After we will calculate the factors of 22833 and 22848 and find the biggest common factor number .

Step-1: Prime Factorization of 22833

Prime factors of 22833 are 3, 43, 59. Prime factorization of 22833 in exponential form is:

22833 = 3² × 43¹ × 59¹

Step-2: Prime Factorization of 22848

Prime factors of 22848 are 2, 3, 7, 17. Prime factorization of 22848 in exponential form is:

22848 = 2⁶ × 3¹ × 7¹ × 17¹

Step-3: Factors of 22833

List of positive integer factors of 22833 that divides 22833 without a remainder.

1, 3, 9, 43, 59, 129, 177, 387, 531, 2537, 7611

Step-4: Factors of 22848

List of positive integer factors of 22848 that divides 22833 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 64, 68, 84, 96, 102, 112, 119, 136, 168, 192, 204, 224, 238, 272, 336, 357, 408, 448, 476, 544, 672, 714, 816, 952, 1088, 1344, 1428, 1632, 1904, 2856, 3264, 3808, 5712, 7616, 11424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22833 and 22848. The biggest common factor number is the GCF number.
So the greatest common factor 22833 and 22848 is 3.

Also check out the Least Common Multiple of 22833 and 22848