What is the Greatest Common Factor of 22770 and 22779?

Greatest common factor (GCF) of 22770 and 22779 is 9.

GCF(22770,22779) = 9

We will now calculate the prime factors of 22770 and 22779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22770 and 22779.

How to find the GCF of 22770 and 22779?

We will first find the prime factorization of 22770 and 22779. After we will calculate the factors of 22770 and 22779 and find the biggest common factor number .

Step-1: Prime Factorization of 22770

Prime factors of 22770 are 2, 3, 5, 11, 23. Prime factorization of 22770 in exponential form is:

22770 = 2¹ × 3² × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 22779

Prime factors of 22779 are 3, 2531. Prime factorization of 22779 in exponential form is:

22779 = 3² × 2531¹

Step-3: Factors of 22770

List of positive integer factors of 22770 that divides 22770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 23, 30, 33, 45, 46, 55, 66, 69, 90, 99, 110, 115, 138, 165, 198, 207, 230, 253, 330, 345, 414, 495, 506, 690, 759, 990, 1035, 1265, 1518, 2070, 2277, 2530, 3795, 4554, 7590, 11385

Step-4: Factors of 22779

List of positive integer factors of 22779 that divides 22770 without a remainder.

1, 3, 9, 2531, 7593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22770 and 22779. The biggest common factor number is the GCF number.
So the greatest common factor 22770 and 22779 is 9.

Also check out the Least Common Multiple of 22770 and 22779