What is the Greatest Common Factor of 8995 and 9009?

Greatest common factor (GCF) of 8995 and 9009 is 7.

GCF(8995,9009) = 7

We will now calculate the prime factors of 8995 and 9009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8995 and 9009.

How to find the GCF of 8995 and 9009?

We will first find the prime factorization of 8995 and 9009. After we will calculate the factors of 8995 and 9009 and find the biggest common factor number .

Step-1: Prime Factorization of 8995

Prime factors of 8995 are 5, 7, 257. Prime factorization of 8995 in exponential form is:

8995 = 5¹ × 7¹ × 257¹

Step-2: Prime Factorization of 9009

Prime factors of 9009 are 3, 7, 11, 13. Prime factorization of 9009 in exponential form is:

9009 = 3² × 7¹ × 11¹ × 13¹

Step-3: Factors of 8995

List of positive integer factors of 8995 that divides 8995 without a remainder.

1, 5, 7, 35, 257, 1285, 1799

Step-4: Factors of 9009

List of positive integer factors of 9009 that divides 8995 without a remainder.

1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8995 and 9009. The biggest common factor number is the GCF number.
So the greatest common factor 8995 and 9009 is 7.

Also check out the Least Common Multiple of 8995 and 9009