What is the Greatest Common Factor of 75800 and 75817?

Greatest common factor (GCF) of 75800 and 75817 is 1.

GCF(75800,75817) = 1

We will now calculate the prime factors of 75800 and 75817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75800 and 75817.

How to find the GCF of 75800 and 75817?

We will first find the prime factorization of 75800 and 75817. After we will calculate the factors of 75800 and 75817 and find the biggest common factor number .

Step-1: Prime Factorization of 75800

Prime factors of 75800 are 2, 5, 379. Prime factorization of 75800 in exponential form is:

75800 = 2³ × 5² × 379¹

Step-2: Prime Factorization of 75817

Prime factors of 75817 are 7, 10831. Prime factorization of 75817 in exponential form is:

75817 = 7¹ × 10831¹

Step-3: Factors of 75800

List of positive integer factors of 75800 that divides 75800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 379, 758, 1516, 1895, 3032, 3790, 7580, 9475, 15160, 18950, 37900

Step-4: Factors of 75817

List of positive integer factors of 75817 that divides 75800 without a remainder.

1, 7, 10831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75800 and 75817. The biggest common factor number is the GCF number.
So the greatest common factor 75800 and 75817 is 1.

Also check out the Least Common Multiple of 75800 and 75817