What is the Greatest Common Factor of 8830 and 8850?

Greatest common factor (GCF) of 8830 and 8850 is 10.

GCF(8830,8850) = 10

We will now calculate the prime factors of 8830 and 8850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8830 and 8850.

How to find the GCF of 8830 and 8850?

We will first find the prime factorization of 8830 and 8850. After we will calculate the factors of 8830 and 8850 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 8830

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

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

Step-4: Factors of 8850

List of positive integer factors of 8850 that divides 8830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8830 and 8850. The biggest common factor number is the GCF number.
So the greatest common factor 8830 and 8850 is 10.

Also check out the Least Common Multiple of 8830 and 8850