What is the Greatest Common Factor of 8850 and 8855?

Greatest common factor (GCF) of 8850 and 8855 is 5.

GCF(8850,8855) = 5

We will now calculate the prime factors of 8850 and 8855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8850 and 8855.

How to find the GCF of 8850 and 8855?

We will first find the prime factorization of 8850 and 8855. After we will calculate the factors of 8850 and 8855 and find the biggest common factor number .

Step-1: Prime Factorization of 8850

Prime factors of 8850 are 2, 3, 5, 59. Prime factorization of 8850 in exponential form is:

8850 = 2¹ × 3¹ × 5² × 59¹

Step-2: 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-3: Factors of 8850

List of positive integer factors of 8850 that divides 8850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425

Step-4: Factors of 8855

List of positive integer factors of 8855 that divides 8850 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8850 and 8855. The biggest common factor number is the GCF number.
So the greatest common factor 8850 and 8855 is 5.

Also check out the Least Common Multiple of 8850 and 8855