What is the Greatest Common Factor of 23729 and 23736?

Greatest common factor (GCF) of 23729 and 23736 is 1.

GCF(23729,23736) = 1

We will now calculate the prime factors of 23729 and 23736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23729 and 23736.

How to find the GCF of 23729 and 23736?

We will first find the prime factorization of 23729 and 23736. After we will calculate the factors of 23729 and 23736 and find the biggest common factor number .

Step-1: Prime Factorization of 23729

Prime factors of 23729 are 61, 389. Prime factorization of 23729 in exponential form is:

23729 = 61¹ × 389¹

Step-2: 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-3: Factors of 23729

List of positive integer factors of 23729 that divides 23729 without a remainder.

1, 61, 389

Step-4: Factors of 23736

List of positive integer factors of 23736 that divides 23729 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23729 and 23736. The biggest common factor number is the GCF number.
So the greatest common factor 23729 and 23736 is 1.

Also check out the Least Common Multiple of 23729 and 23736