What is the Greatest Common Factor of 22848 and 22867?

Greatest common factor (GCF) of 22848 and 22867 is 1.

GCF(22848,22867) = 1

We will now calculate the prime factors of 22848 and 22867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22848 and 22867.

How to find the GCF of 22848 and 22867?

We will first find the prime factorization of 22848 and 22867. After we will calculate the factors of 22848 and 22867 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 22867

Prime factors of 22867 are 13, 1759. Prime factorization of 22867 in exponential form is:

22867 = 13¹ × 1759¹

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 22867

List of positive integer factors of 22867 that divides 22848 without a remainder.

1, 13, 1759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22848 and 22867. The biggest common factor number is the GCF number.
So the greatest common factor 22848 and 22867 is 1.

Also check out the Least Common Multiple of 22848 and 22867