What is the Greatest Common Factor of 8825 and 8830?

Greatest common factor (GCF) of 8825 and 8830 is 5.

GCF(8825,8830) = 5

We will now calculate the prime factors of 8825 and 8830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8825 and 8830.

How to find the GCF of 8825 and 8830?

We will first find the prime factorization of 8825 and 8830. After we will calculate the factors of 8825 and 8830 and find the biggest common factor number .

Step-1: Prime Factorization of 8825

Prime factors of 8825 are 5, 353. Prime factorization of 8825 in exponential form is:

8825 = 5² × 353¹

Step-2: Prime Factorization of 8830

Prime factors of 8830 are 2, 5, 883. Prime factorization of 8830 in exponential form is:

8830 = 2¹ × 5¹ × 883¹

Step-3: Factors of 8825

List of positive integer factors of 8825 that divides 8825 without a remainder.

1, 5, 25, 353, 1765

Step-4: Factors of 8830

List of positive integer factors of 8830 that divides 8825 without a remainder.

1, 2, 5, 10, 883, 1766, 4415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8825 and 8830. The biggest common factor number is the GCF number.
So the greatest common factor 8825 and 8830 is 5.

Also check out the Least Common Multiple of 8825 and 8830