What is the Greatest Common Factor of 79589 and 79600?

Greatest common factor (GCF) of 79589 and 79600 is 1.

GCF(79589,79600) = 1

We will now calculate the prime factors of 79589 and 79600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79589 and 79600.

How to find the GCF of 79589 and 79600?

We will first find the prime factorization of 79589 and 79600. After we will calculate the factors of 79589 and 79600 and find the biggest common factor number .

Step-1: Prime Factorization of 79589

Prime factors of 79589 are 79589. Prime factorization of 79589 in exponential form is:

79589 = 79589¹

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 79589

List of positive integer factors of 79589 that divides 79589 without a remainder.

Step-4: Factors of 79600

List of positive integer factors of 79600 that divides 79589 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 79589 and 79600. The biggest common factor number is the GCF number.
So the greatest common factor 79589 and 79600 is 1.

Also check out the Least Common Multiple of 79589 and 79600