What is the Greatest Common Factor of 8508 and 8512?

Greatest common factor (GCF) of 8508 and 8512 is 4.

GCF(8508,8512) = 4

We will now calculate the prime factors of 8508 and 8512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8508 and 8512.

How to find the GCF of 8508 and 8512?

We will first find the prime factorization of 8508 and 8512. After we will calculate the factors of 8508 and 8512 and find the biggest common factor number .

Step-1: Prime Factorization of 8508

Prime factors of 8508 are 2, 3, 709. Prime factorization of 8508 in exponential form is:

8508 = 2² × 3¹ × 709¹

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 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254

Step-4: Factors of 8512

List of positive integer factors of 8512 that divides 8508 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 8508 and 8512. The biggest common factor number is the GCF number.
So the greatest common factor 8508 and 8512 is 4.

Also check out the Least Common Multiple of 8508 and 8512