What is the Greatest Common Factor of 8850 and 8865?

Greatest common factor (GCF) of 8850 and 8865 is 15.

GCF(8850,8865) = 15

We will now calculate the prime factors of 8850 and 8865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8850 and 8865.

How to find the GCF of 8850 and 8865?

We will first find the prime factorization of 8850 and 8865. After we will calculate the factors of 8850 and 8865 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 8865

Prime factors of 8865 are 3, 5, 197. Prime factorization of 8865 in exponential form is:

8865 = 3² × 5¹ × 197¹

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 8865

List of positive integer factors of 8865 that divides 8850 without a remainder.

1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8850 and 8865. The biggest common factor number is the GCF number.
So the greatest common factor 8850 and 8865 is 15.

Also check out the Least Common Multiple of 8850 and 8865