What is the Greatest Common Factor of 22758 and 22773?

Greatest common factor (GCF) of 22758 and 22773 is 3.

GCF(22758,22773) = 3

We will now calculate the prime factors of 22758 and 22773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22758 and 22773.

How to find the GCF of 22758 and 22773?

We will first find the prime factorization of 22758 and 22773. After we will calculate the factors of 22758 and 22773 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 22773

Prime factors of 22773 are 3, 7591. Prime factorization of 22773 in exponential form is:

22773 = 3¹ × 7591¹

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 22773

List of positive integer factors of 22773 that divides 22758 without a remainder.

1, 3, 7591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22758 and 22773. The biggest common factor number is the GCF number.
So the greatest common factor 22758 and 22773 is 3.

Also check out the Least Common Multiple of 22758 and 22773