What is the Greatest Common Factor of 39810 and 39825?

Greatest common factor (GCF) of 39810 and 39825 is 15.

GCF(39810,39825) = 15

We will now calculate the prime factors of 39810 and 39825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39810 and 39825.

How to find the GCF of 39810 and 39825?

We will first find the prime factorization of 39810 and 39825. After we will calculate the factors of 39810 and 39825 and find the biggest common factor number .

Step-1: Prime Factorization of 39810

Prime factors of 39810 are 2, 3, 5, 1327. Prime factorization of 39810 in exponential form is:

39810 = 2¹ × 3¹ × 5¹ × 1327¹

Step-2: 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-3: Factors of 39810

List of positive integer factors of 39810 that divides 39810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1327, 2654, 3981, 6635, 7962, 13270, 19905

Step-4: Factors of 39825

List of positive integer factors of 39825 that divides 39810 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39810 and 39825. The biggest common factor number is the GCF number.
So the greatest common factor 39810 and 39825 is 15.

Also check out the Least Common Multiple of 39810 and 39825