What is the Greatest Common Factor of 9825 and 9830?

Greatest common factor (GCF) of 9825 and 9830 is 5.

GCF(9825,9830) = 5

We will now calculate the prime factors of 9825 and 9830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9825 and 9830.

How to find the GCF of 9825 and 9830?

We will first find the prime factorization of 9825 and 9830. After we will calculate the factors of 9825 and 9830 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 9830

Prime factors of 9830 are 2, 5, 983. Prime factorization of 9830 in exponential form is:

9830 = 2¹ × 5¹ × 983¹

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 9830

List of positive integer factors of 9830 that divides 9825 without a remainder.

1, 2, 5, 10, 983, 1966, 4915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9825 and 9830. The biggest common factor number is the GCF number.
So the greatest common factor 9825 and 9830 is 5.

Also check out the Least Common Multiple of 9825 and 9830