What is the Greatest Common Factor of 23748 and 23766?

Greatest common factor (GCF) of 23748 and 23766 is 6.

GCF(23748,23766) = 6

We will now calculate the prime factors of 23748 and 23766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23748 and 23766.

How to find the GCF of 23748 and 23766?

We will first find the prime factorization of 23748 and 23766. After we will calculate the factors of 23748 and 23766 and find the biggest common factor number .

Step-1: Prime Factorization of 23748

Prime factors of 23748 are 2, 3, 1979. Prime factorization of 23748 in exponential form is:

23748 = 2² × 3¹ × 1979¹

Step-2: 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-3: Factors of 23748

List of positive integer factors of 23748 that divides 23748 without a remainder.

1, 2, 3, 4, 6, 12, 1979, 3958, 5937, 7916, 11874

Step-4: Factors of 23766

List of positive integer factors of 23766 that divides 23748 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23748 and 23766. The biggest common factor number is the GCF number.
So the greatest common factor 23748 and 23766 is 6.

Also check out the Least Common Multiple of 23748 and 23766