What is the Greatest Common Factor of 15744 and 15764?

Greatest common factor (GCF) of 15744 and 15764 is 4.

GCF(15744,15764) = 4

We will now calculate the prime factors of 15744 and 15764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15744 and 15764.

How to find the GCF of 15744 and 15764?

We will first find the prime factorization of 15744 and 15764. After we will calculate the factors of 15744 and 15764 and find the biggest common factor number .

Step-1: Prime Factorization of 15744

Prime factors of 15744 are 2, 3, 41. Prime factorization of 15744 in exponential form is:

15744 = 2⁷ × 3¹ × 41¹

Step-2: Prime Factorization of 15764

Prime factors of 15764 are 2, 7, 563. Prime factorization of 15764 in exponential form is:

15764 = 2² × 7¹ × 563¹

Step-3: Factors of 15744

List of positive integer factors of 15744 that divides 15744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 128, 164, 192, 246, 328, 384, 492, 656, 984, 1312, 1968, 2624, 3936, 5248, 7872

Step-4: Factors of 15764

List of positive integer factors of 15764 that divides 15744 without a remainder.

1, 2, 4, 7, 14, 28, 563, 1126, 2252, 3941, 7882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15744 and 15764. The biggest common factor number is the GCF number.
So the greatest common factor 15744 and 15764 is 4.

Also check out the Least Common Multiple of 15744 and 15764