What is the Greatest Common Factor of 8806 and 8825?

Greatest common factor (GCF) of 8806 and 8825 is 1.

GCF(8806,8825) = 1

We will now calculate the prime factors of 8806 and 8825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8806 and 8825.

How to find the GCF of 8806 and 8825?

We will first find the prime factorization of 8806 and 8825. After we will calculate the factors of 8806 and 8825 and find the biggest common factor number .

Step-1: Prime Factorization of 8806

Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:

8806 = 2¹ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 8825

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

8825 = 5² × 353¹

Step-3: Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403

Step-4: Factors of 8825

List of positive integer factors of 8825 that divides 8806 without a remainder.

1, 5, 25, 353, 1765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8806 and 8825. The biggest common factor number is the GCF number.
So the greatest common factor 8806 and 8825 is 1.

Also check out the Least Common Multiple of 8806 and 8825