What is the Greatest Common Factor of 76792 and 76800?

Greatest common factor (GCF) of 76792 and 76800 is 8.

GCF(76792,76800) = 8

We will now calculate the prime factors of 76792 and 76800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76792 and 76800.

How to find the GCF of 76792 and 76800?

We will first find the prime factorization of 76792 and 76800. After we will calculate the factors of 76792 and 76800 and find the biggest common factor number .

Step-1: Prime Factorization of 76792

Prime factors of 76792 are 2, 29, 331. Prime factorization of 76792 in exponential form is:

76792 = 2³ × 29¹ × 331¹

Step-2: Prime Factorization of 76800

Prime factors of 76800 are 2, 3, 5. Prime factorization of 76800 in exponential form is:

76800 = 2¹⁰ × 3¹ × 5²

Step-3: Factors of 76792

List of positive integer factors of 76792 that divides 76792 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 331, 662, 1324, 2648, 9599, 19198, 38396

Step-4: Factors of 76800

List of positive integer factors of 76800 that divides 76792 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 256, 300, 320, 384, 400, 480, 512, 600, 640, 768, 800, 960, 1024, 1200, 1280, 1536, 1600, 1920, 2400, 2560, 3072, 3200, 3840, 4800, 5120, 6400, 7680, 9600, 12800, 15360, 19200, 25600, 38400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76792 and 76800. The biggest common factor number is the GCF number.
So the greatest common factor 76792 and 76800 is 8.

Also check out the Least Common Multiple of 76792 and 76800