What is the Greatest Common Factor of 23766 and 23783?

Greatest common factor (GCF) of 23766 and 23783 is 17.

GCF(23766,23783) = 17

We will now calculate the prime factors of 23766 and 23783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23766 and 23783.

How to find the GCF of 23766 and 23783?

We will first find the prime factorization of 23766 and 23783. After we will calculate the factors of 23766 and 23783 and find the biggest common factor number .

Step-1: Prime Factorization of 23766

Prime factors of 23766 are 2, 3, 17, 233. Prime factorization of 23766 in exponential form is:

23766 = 2¹ × 3¹ × 17¹ × 233¹

Step-2: Prime Factorization of 23783

Prime factors of 23783 are 17, 1399. Prime factorization of 23783 in exponential form is:

23783 = 17¹ × 1399¹

Step-3: Factors of 23766

List of positive integer factors of 23766 that divides 23766 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 233, 466, 699, 1398, 3961, 7922, 11883

Step-4: Factors of 23783

List of positive integer factors of 23783 that divides 23766 without a remainder.

1, 17, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23766 and 23783. The biggest common factor number is the GCF number.
So the greatest common factor 23766 and 23783 is 17.

Also check out the Least Common Multiple of 23766 and 23783