What is the Greatest Common Factor of 8505 and 8516?

Greatest common factor (GCF) of 8505 and 8516 is 1.

GCF(8505,8516) = 1

We will now calculate the prime factors of 8505 and 8516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8505 and 8516.

How to find the GCF of 8505 and 8516?

We will first find the prime factorization of 8505 and 8516. After we will calculate the factors of 8505 and 8516 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8516

Prime factors of 8516 are 2, 2129. Prime factorization of 8516 in exponential form is:

8516 = 2² × 2129¹

Step-3: Factors of 8505

List of positive integer factors of 8505 that divides 8505 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

Step-4: Factors of 8516

List of positive integer factors of 8516 that divides 8505 without a remainder.

1, 2, 4, 2129, 4258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8505 and 8516. The biggest common factor number is the GCF number.
So the greatest common factor 8505 and 8516 is 1.

Also check out the Least Common Multiple of 8505 and 8516