What is the Greatest Common Factor of 8490 and 8505?

Greatest common factor (GCF) of 8490 and 8505 is 15.

GCF(8490,8505) = 15

We will now calculate the prime factors of 8490 and 8505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8490 and 8505.

How to find the GCF of 8490 and 8505?

We will first find the prime factorization of 8490 and 8505. After we will calculate the factors of 8490 and 8505 and find the biggest common factor number .

Step-1: Prime Factorization of 8490

Prime factors of 8490 are 2, 3, 5, 283. Prime factorization of 8490 in exponential form is:

8490 = 2¹ × 3¹ × 5¹ × 283¹

Step-2: Prime Factorization of 8505

Prime factors of 8505 are 3, 5, 7. Prime factorization of 8505 in exponential form is:

8505 = 3⁵ × 5¹ × 7¹

Step-3: Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245

Step-4: Factors of 8505

List of positive integer factors of 8505 that divides 8490 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8490 and 8505. The biggest common factor number is the GCF number.
So the greatest common factor 8490 and 8505 is 15.

Also check out the Least Common Multiple of 8490 and 8505