What is the Greatest Common Factor of 39817 and 39825?

Greatest common factor (GCF) of 39817 and 39825 is 1.

GCF(39817,39825) = 1

We will now calculate the prime factors of 39817 and 39825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39817 and 39825.

How to find the GCF of 39817 and 39825?

We will first find the prime factorization of 39817 and 39825. After we will calculate the factors of 39817 and 39825 and find the biggest common factor number .

Step-1: Prime Factorization of 39817

Prime factors of 39817 are 29, 1373. Prime factorization of 39817 in exponential form is:

39817 = 29¹ × 1373¹

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 39817

List of positive integer factors of 39817 that divides 39817 without a remainder.

1, 29, 1373

Step-4: Factors of 39825

List of positive integer factors of 39825 that divides 39817 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 39817 and 39825. The biggest common factor number is the GCF number.
So the greatest common factor 39817 and 39825 is 1.

Also check out the Least Common Multiple of 39817 and 39825