What is the Greatest Common Factor of 23736 and 23749?

Greatest common factor (GCF) of 23736 and 23749 is 1.

GCF(23736,23749) = 1

We will now calculate the prime factors of 23736 and 23749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23736 and 23749.

How to find the GCF of 23736 and 23749?

We will first find the prime factorization of 23736 and 23749. After we will calculate the factors of 23736 and 23749 and find the biggest common factor number .

Step-1: Prime Factorization of 23736

Prime factors of 23736 are 2, 3, 23, 43. Prime factorization of 23736 in exponential form is:

23736 = 2³ × 3¹ × 23¹ × 43¹

Step-2: Prime Factorization of 23749

Prime factors of 23749 are 11, 17, 127. Prime factorization of 23749 in exponential form is:

23749 = 11¹ × 17¹ × 127¹

Step-3: Factors of 23736

List of positive integer factors of 23736 that divides 23736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 43, 46, 69, 86, 92, 129, 138, 172, 184, 258, 276, 344, 516, 552, 989, 1032, 1978, 2967, 3956, 5934, 7912, 11868

Step-4: Factors of 23749

List of positive integer factors of 23749 that divides 23736 without a remainder.

1, 11, 17, 127, 187, 1397, 2159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23736 and 23749. The biggest common factor number is the GCF number.
So the greatest common factor 23736 and 23749 is 1.

Also check out the Least Common Multiple of 23736 and 23749