What is the Greatest Common Factor of 36825 and 36830?

Greatest common factor (GCF) of 36825 and 36830 is 5.

GCF(36825,36830) = 5

We will now calculate the prime factors of 36825 and 36830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36825 and 36830.

How to find the GCF of 36825 and 36830?

We will first find the prime factorization of 36825 and 36830. After we will calculate the factors of 36825 and 36830 and find the biggest common factor number .

Step-1: Prime Factorization of 36825

Prime factors of 36825 are 3, 5, 491. Prime factorization of 36825 in exponential form is:

36825 = 3¹ × 5² × 491¹

Step-2: Prime Factorization of 36830

Prime factors of 36830 are 2, 5, 29, 127. Prime factorization of 36830 in exponential form is:

36830 = 2¹ × 5¹ × 29¹ × 127¹

Step-3: Factors of 36825

List of positive integer factors of 36825 that divides 36825 without a remainder.

1, 3, 5, 15, 25, 75, 491, 1473, 2455, 7365, 12275

Step-4: Factors of 36830

List of positive integer factors of 36830 that divides 36825 without a remainder.

1, 2, 5, 10, 29, 58, 127, 145, 254, 290, 635, 1270, 3683, 7366, 18415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36825 and 36830. The biggest common factor number is the GCF number.
So the greatest common factor 36825 and 36830 is 5.

Also check out the Least Common Multiple of 36825 and 36830