What is the Greatest Common Factor of 75825 and 75844?

Greatest common factor (GCF) of 75825 and 75844 is 1.

GCF(75825,75844) = 1

We will now calculate the prime factors of 75825 and 75844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75825 and 75844.

How to find the GCF of 75825 and 75844?

We will first find the prime factorization of 75825 and 75844. After we will calculate the factors of 75825 and 75844 and find the biggest common factor number .

Step-1: Prime Factorization of 75825

Prime factors of 75825 are 3, 5, 337. Prime factorization of 75825 in exponential form is:

75825 = 3² × 5² × 337¹

Step-2: Prime Factorization of 75844

Prime factors of 75844 are 2, 67, 283. Prime factorization of 75844 in exponential form is:

75844 = 2² × 67¹ × 283¹

Step-3: Factors of 75825

List of positive integer factors of 75825 that divides 75825 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 337, 1011, 1685, 3033, 5055, 8425, 15165, 25275

Step-4: Factors of 75844

List of positive integer factors of 75844 that divides 75825 without a remainder.

1, 2, 4, 67, 134, 268, 283, 566, 1132, 18961, 37922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75825 and 75844. The biggest common factor number is the GCF number.
So the greatest common factor 75825 and 75844 is 1.

Also check out the Least Common Multiple of 75825 and 75844