What is the Greatest Common Factor of 22848 and 22858?

Greatest common factor (GCF) of 22848 and 22858 is 2.

GCF(22848,22858) = 2

We will now calculate the prime factors of 22848 and 22858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22848 and 22858.

How to find the GCF of 22848 and 22858?

We will first find the prime factorization of 22848 and 22858. After we will calculate the factors of 22848 and 22858 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 22858

Prime factors of 22858 are 2, 11, 1039. Prime factorization of 22858 in exponential form is:

22858 = 2¹ × 11¹ × 1039¹

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 22858

List of positive integer factors of 22858 that divides 22848 without a remainder.

1, 2, 11, 22, 1039, 2078, 11429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22848 and 22858. The biggest common factor number is the GCF number.
So the greatest common factor 22848 and 22858 is 2.

Also check out the Least Common Multiple of 22848 and 22858