What is the Greatest Common Factor of 23782 and 23796?

Greatest common factor (GCF) of 23782 and 23796 is 2.

GCF(23782,23796) = 2

We will now calculate the prime factors of 23782 and 23796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23782 and 23796.

How to find the GCF of 23782 and 23796?

We will first find the prime factorization of 23782 and 23796. After we will calculate the factors of 23782 and 23796 and find the biggest common factor number .

Step-1: Prime Factorization of 23782

Prime factors of 23782 are 2, 11, 23, 47. Prime factorization of 23782 in exponential form is:

23782 = 2¹ × 11¹ × 23¹ × 47¹

Step-2: Prime Factorization of 23796

Prime factors of 23796 are 2, 3, 661. Prime factorization of 23796 in exponential form is:

23796 = 2² × 3² × 661¹

Step-3: Factors of 23782

List of positive integer factors of 23782 that divides 23782 without a remainder.

1, 2, 11, 22, 23, 46, 47, 94, 253, 506, 517, 1034, 1081, 2162, 11891

Step-4: Factors of 23796

List of positive integer factors of 23796 that divides 23782 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 661, 1322, 1983, 2644, 3966, 5949, 7932, 11898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23782 and 23796. The biggest common factor number is the GCF number.
So the greatest common factor 23782 and 23796 is 2.

Also check out the Least Common Multiple of 23782 and 23796