What is the Greatest Common Factor of 79584 and 79600?

Greatest common factor (GCF) of 79584 and 79600 is 16.

GCF(79584,79600) = 16

We will now calculate the prime factors of 79584 and 79600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79584 and 79600.

How to find the GCF of 79584 and 79600?

We will first find the prime factorization of 79584 and 79600. After we will calculate the factors of 79584 and 79600 and find the biggest common factor number .

Step-1: Prime Factorization of 79584

Prime factors of 79584 are 2, 3, 829. Prime factorization of 79584 in exponential form is:

79584 = 2⁵ × 3¹ × 829¹

Step-2: Prime Factorization of 79600

Prime factors of 79600 are 2, 5, 199. Prime factorization of 79600 in exponential form is:

79600 = 2⁴ × 5² × 199¹

Step-3: Factors of 79584

List of positive integer factors of 79584 that divides 79584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896, 26528, 39792

Step-4: Factors of 79600

List of positive integer factors of 79600 that divides 79584 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 199, 200, 398, 400, 796, 995, 1592, 1990, 3184, 3980, 4975, 7960, 9950, 15920, 19900, 39800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79584 and 79600. The biggest common factor number is the GCF number.
So the greatest common factor 79584 and 79600 is 16.

Also check out the Least Common Multiple of 79584 and 79600