What is the Greatest Common Factor of 22869 and 22883?

Greatest common factor (GCF) of 22869 and 22883 is 7.

GCF(22869,22883) = 7

We will now calculate the prime factors of 22869 and 22883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22869 and 22883.

How to find the GCF of 22869 and 22883?

We will first find the prime factorization of 22869 and 22883. After we will calculate the factors of 22869 and 22883 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22883

Prime factors of 22883 are 7, 467. Prime factorization of 22883 in exponential form is:

22883 = 7² × 467¹

Step-3: Factors of 22869

List of positive integer factors of 22869 that divides 22869 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

Step-4: Factors of 22883

List of positive integer factors of 22883 that divides 22869 without a remainder.

1, 7, 49, 467, 3269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22869 and 22883. The biggest common factor number is the GCF number.
So the greatest common factor 22869 and 22883 is 7.

Also check out the Least Common Multiple of 22869 and 22883