What is the Greatest Common Factor of 23712 and 23727?

Greatest common factor (GCF) of 23712 and 23727 is 3.

GCF(23712,23727) = 3

We will now calculate the prime factors of 23712 and 23727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23712 and 23727.

How to find the GCF of 23712 and 23727?

We will first find the prime factorization of 23712 and 23727. After we will calculate the factors of 23712 and 23727 and find the biggest common factor number .

Step-1: Prime Factorization of 23712

Prime factors of 23712 are 2, 3, 13, 19. Prime factorization of 23712 in exponential form is:

23712 = 2⁵ × 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 23727

Prime factors of 23727 are 3, 11, 719. Prime factorization of 23727 in exponential form is:

23727 = 3¹ × 11¹ × 719¹

Step-3: Factors of 23712

List of positive integer factors of 23712 that divides 23712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 32, 38, 39, 48, 52, 57, 76, 78, 96, 104, 114, 152, 156, 208, 228, 247, 304, 312, 416, 456, 494, 608, 624, 741, 912, 988, 1248, 1482, 1824, 1976, 2964, 3952, 5928, 7904, 11856

Step-4: Factors of 23727

List of positive integer factors of 23727 that divides 23712 without a remainder.

1, 3, 11, 33, 719, 2157, 7909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23712 and 23727. The biggest common factor number is the GCF number.
So the greatest common factor 23712 and 23727 is 3.

Also check out the Least Common Multiple of 23712 and 23727