What is the Greatest Common Factor of 22851 and 22869?

Greatest common factor (GCF) of 22851 and 22869 is 9.

GCF(22851,22869) = 9

We will now calculate the prime factors of 22851 and 22869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22851 and 22869.

How to find the GCF of 22851 and 22869?

We will first find the prime factorization of 22851 and 22869. After we will calculate the factors of 22851 and 22869 and find the biggest common factor number .

Step-1: Prime Factorization of 22851

Prime factors of 22851 are 3, 2539. Prime factorization of 22851 in exponential form is:

22851 = 3² × 2539¹

Step-2: Prime Factorization of 22869

Prime factors of 22869 are 3, 7, 11. Prime factorization of 22869 in exponential form is:

22869 = 3³ × 7¹ × 11²

Step-3: Factors of 22851

List of positive integer factors of 22851 that divides 22851 without a remainder.

1, 3, 9, 2539, 7617

Step-4: Factors of 22869

List of positive integer factors of 22869 that divides 22851 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 121, 189, 231, 297, 363, 693, 847, 1089, 2079, 2541, 3267, 7623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22851 and 22869. The biggest common factor number is the GCF number.
So the greatest common factor 22851 and 22869 is 9.

Also check out the Least Common Multiple of 22851 and 22869