What is the Greatest Common Factor of 8855 and 8875?

Greatest common factor (GCF) of 8855 and 8875 is 5.

GCF(8855,8875) = 5

We will now calculate the prime factors of 8855 and 8875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8855 and 8875.

How to find the GCF of 8855 and 8875?

We will first find the prime factorization of 8855 and 8875. After we will calculate the factors of 8855 and 8875 and find the biggest common factor number .

Step-1: Prime Factorization of 8855

Prime factors of 8855 are 5, 7, 11, 23. Prime factorization of 8855 in exponential form is:

8855 = 5¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 8875

Prime factors of 8875 are 5, 71. Prime factorization of 8875 in exponential form is:

8875 = 5³ × 71¹

Step-3: Factors of 8855

List of positive integer factors of 8855 that divides 8855 without a remainder.

1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771

Step-4: Factors of 8875

List of positive integer factors of 8875 that divides 8855 without a remainder.

1, 5, 25, 71, 125, 355, 1775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8855 and 8875. The biggest common factor number is the GCF number.
So the greatest common factor 8855 and 8875 is 5.

Also check out the Least Common Multiple of 8855 and 8875