What is the Greatest Common Factor of 36825 and 36842?

Greatest common factor (GCF) of 36825 and 36842 is 1.

GCF(36825,36842) = 1

We will now calculate the prime factors of 36825 and 36842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36825 and 36842.

How to find the GCF of 36825 and 36842?

We will first find the prime factorization of 36825 and 36842. After we will calculate the factors of 36825 and 36842 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 36842

Prime factors of 36842 are 2, 13, 109. Prime factorization of 36842 in exponential form is:

36842 = 2¹ × 13² × 109¹

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 36842

List of positive integer factors of 36842 that divides 36825 without a remainder.

1, 2, 13, 26, 109, 169, 218, 338, 1417, 2834, 18421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36825 and 36842. The biggest common factor number is the GCF number.
So the greatest common factor 36825 and 36842 is 1.

Also check out the Least Common Multiple of 36825 and 36842