What is the Greatest Common Factor of 8500 and 8512?

Greatest common factor (GCF) of 8500 and 8512 is 4.

GCF(8500,8512) = 4

We will now calculate the prime factors of 8500 and 8512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8500 and 8512.

How to find the GCF of 8500 and 8512?

We will first find the prime factorization of 8500 and 8512. After we will calculate the factors of 8500 and 8512 and find the biggest common factor number .

Step-1: Prime Factorization of 8500

Prime factors of 8500 are 2, 5, 17. Prime factorization of 8500 in exponential form is:

8500 = 2² × 5³ × 17¹

Step-2: Prime Factorization of 8512

Prime factors of 8512 are 2, 7, 19. Prime factorization of 8512 in exponential form is:

8512 = 2⁶ × 7¹ × 19¹

Step-3: Factors of 8500

List of positive integer factors of 8500 that divides 8500 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250

Step-4: Factors of 8512

List of positive integer factors of 8512 that divides 8500 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8500 and 8512. The biggest common factor number is the GCF number.
So the greatest common factor 8500 and 8512 is 4.

Also check out the Least Common Multiple of 8500 and 8512