What is the Greatest Common Factor of 39825 and 39844?

Greatest common factor (GCF) of 39825 and 39844 is 1.

GCF(39825,39844) = 1

We will now calculate the prime factors of 39825 and 39844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39825 and 39844.

How to find the GCF of 39825 and 39844?

We will first find the prime factorization of 39825 and 39844. After we will calculate the factors of 39825 and 39844 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 39844

Prime factors of 39844 are 2, 7, 1423. Prime factorization of 39844 in exponential form is:

39844 = 2² × 7¹ × 1423¹

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 39844

List of positive integer factors of 39844 that divides 39825 without a remainder.

1, 2, 4, 7, 14, 28, 1423, 2846, 5692, 9961, 19922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39825 and 39844. The biggest common factor number is the GCF number.
So the greatest common factor 39825 and 39844 is 1.

Also check out the Least Common Multiple of 39825 and 39844