What is the Greatest Common Factor of 39825 and 39834?

Greatest common factor (GCF) of 39825 and 39834 is 9.

GCF(39825,39834) = 9

We will now calculate the prime factors of 39825 and 39834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39825 and 39834.

How to find the GCF of 39825 and 39834?

We will first find the prime factorization of 39825 and 39834. After we will calculate the factors of 39825 and 39834 and find the biggest common factor number .

Step-1: Prime Factorization of 39825

Prime factors of 39825 are 3, 5, 59. Prime factorization of 39825 in exponential form is:

39825 = 3³ × 5² × 59¹

Step-2: Prime Factorization of 39834

Prime factors of 39834 are 2, 3, 2213. Prime factorization of 39834 in exponential form is:

39834 = 2¹ × 3² × 2213¹

Step-3: Factors of 39825

List of positive integer factors of 39825 that divides 39825 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 59, 75, 135, 177, 225, 295, 531, 675, 885, 1475, 1593, 2655, 4425, 7965, 13275

Step-4: Factors of 39834

List of positive integer factors of 39834 that divides 39825 without a remainder.

1, 2, 3, 6, 9, 18, 2213, 4426, 6639, 13278, 19917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39825 and 39834. The biggest common factor number is the GCF number.
So the greatest common factor 39825 and 39834 is 9.

Also check out the Least Common Multiple of 39825 and 39834