What is the Greatest Common Factor of 22848 and 22864?

Greatest common factor (GCF) of 22848 and 22864 is 16.

GCF(22848,22864) = 16

We will now calculate the prime factors of 22848 and 22864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22848 and 22864.

How to find the GCF of 22848 and 22864?

We will first find the prime factorization of 22848 and 22864. After we will calculate the factors of 22848 and 22864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22864

Prime factors of 22864 are 2, 1429. Prime factorization of 22864 in exponential form is:

22864 = 2⁴ × 1429¹

Step-3: Factors of 22848

List of positive integer factors of 22848 that divides 22848 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

Step-4: Factors of 22864

List of positive integer factors of 22864 that divides 22848 without a remainder.

1, 2, 4, 8, 16, 1429, 2858, 5716, 11432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22848 and 22864. The biggest common factor number is the GCF number.
So the greatest common factor 22848 and 22864 is 16.

Also check out the Least Common Multiple of 22848 and 22864