What is the Greatest Common Factor of 22770 and 22781?

Greatest common factor (GCF) of 22770 and 22781 is 11.

GCF(22770,22781) = 11

We will now calculate the prime factors of 22770 and 22781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22770 and 22781.

How to find the GCF of 22770 and 22781?

We will first find the prime factorization of 22770 and 22781. After we will calculate the factors of 22770 and 22781 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 22781

Prime factors of 22781 are 11, 19, 109. Prime factorization of 22781 in exponential form is:

22781 = 11¹ × 19¹ × 109¹

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 22781

List of positive integer factors of 22781 that divides 22770 without a remainder.

1, 11, 19, 109, 209, 1199, 2071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22770 and 22781. The biggest common factor number is the GCF number.
So the greatest common factor 22770 and 22781 is 11.

Also check out the Least Common Multiple of 22770 and 22781