What is the Greatest Common Factor of 22758 and 22770?

Greatest common factor (GCF) of 22758 and 22770 is 6.

GCF(22758,22770) = 6

We will now calculate the prime factors of 22758 and 22770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22758 and 22770.

How to find the GCF of 22758 and 22770?

We will first find the prime factorization of 22758 and 22770. After we will calculate the factors of 22758 and 22770 and find the biggest common factor number .

Step-1: Prime Factorization of 22758

Prime factors of 22758 are 2, 3, 3793. Prime factorization of 22758 in exponential form is:

22758 = 2¹ × 3¹ × 3793¹

Step-2: 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-3: Factors of 22758

List of positive integer factors of 22758 that divides 22758 without a remainder.

1, 2, 3, 6, 3793, 7586, 11379

Step-4: Factors of 22770

List of positive integer factors of 22770 that divides 22758 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22758 and 22770. The biggest common factor number is the GCF number.
So the greatest common factor 22758 and 22770 is 6.

Also check out the Least Common Multiple of 22758 and 22770