What is the Greatest Common Factor of 75580 and 75599?

Greatest common factor (GCF) of 75580 and 75599 is 1.

GCF(75580,75599) = 1

We will now calculate the prime factors of 75580 and 75599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75580 and 75599.

How to find the GCF of 75580 and 75599?

We will first find the prime factorization of 75580 and 75599. After we will calculate the factors of 75580 and 75599 and find the biggest common factor number .

Step-1: Prime Factorization of 75580

Prime factors of 75580 are 2, 5, 3779. Prime factorization of 75580 in exponential form is:

75580 = 2² × 5¹ × 3779¹

Step-2: Prime Factorization of 75599

Prime factors of 75599 are 17, 4447. Prime factorization of 75599 in exponential form is:

75599 = 17¹ × 4447¹

Step-3: Factors of 75580

List of positive integer factors of 75580 that divides 75580 without a remainder.

1, 2, 4, 5, 10, 20, 3779, 7558, 15116, 18895, 37790

Step-4: Factors of 75599

List of positive integer factors of 75599 that divides 75580 without a remainder.

1, 17, 4447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75580 and 75599. The biggest common factor number is the GCF number.
So the greatest common factor 75580 and 75599 is 1.

Also check out the Least Common Multiple of 75580 and 75599