What is the Greatest Common Factor of 75825 and 75837?

Greatest common factor (GCF) of 75825 and 75837 is 3.

GCF(75825,75837) = 3

We will now calculate the prime factors of 75825 and 75837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75825 and 75837.

How to find the GCF of 75825 and 75837?

We will first find the prime factorization of 75825 and 75837. After we will calculate the factors of 75825 and 75837 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 75837

Prime factors of 75837 are 3, 17, 1487. Prime factorization of 75837 in exponential form is:

75837 = 3¹ × 17¹ × 1487¹

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 75837

List of positive integer factors of 75837 that divides 75825 without a remainder.

1, 3, 17, 51, 1487, 4461, 25279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75825 and 75837. The biggest common factor number is the GCF number.
So the greatest common factor 75825 and 75837 is 3.

Also check out the Least Common Multiple of 75825 and 75837