What is the Greatest Common Factor of 9825 and 9832?

Greatest common factor (GCF) of 9825 and 9832 is 1.

GCF(9825,9832) = 1

We will now calculate the prime factors of 9825 and 9832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9825 and 9832.

How to find the GCF of 9825 and 9832?

We will first find the prime factorization of 9825 and 9832. After we will calculate the factors of 9825 and 9832 and find the biggest common factor number .

Step-1: Prime Factorization of 9825

Prime factors of 9825 are 3, 5, 131. Prime factorization of 9825 in exponential form is:

9825 = 3¹ × 5² × 131¹

Step-2: Prime Factorization of 9832

Prime factors of 9832 are 2, 1229. Prime factorization of 9832 in exponential form is:

9832 = 2³ × 1229¹

Step-3: Factors of 9825

List of positive integer factors of 9825 that divides 9825 without a remainder.

1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275

Step-4: Factors of 9832

List of positive integer factors of 9832 that divides 9825 without a remainder.

1, 2, 4, 8, 1229, 2458, 4916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9825 and 9832. The biggest common factor number is the GCF number.
So the greatest common factor 9825 and 9832 is 1.

Also check out the Least Common Multiple of 9825 and 9832