What is the Greatest Common Factor of 8608 and 8612?

Greatest common factor (GCF) of 8608 and 8612 is 4.

GCF(8608,8612) = 4

We will now calculate the prime factors of 8608 and 8612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8608 and 8612.

How to find the GCF of 8608 and 8612?

We will first find the prime factorization of 8608 and 8612. After we will calculate the factors of 8608 and 8612 and find the biggest common factor number .

Step-1: Prime Factorization of 8608

Prime factors of 8608 are 2, 269. Prime factorization of 8608 in exponential form is:

8608 = 2⁵ × 269¹

Step-2: Prime Factorization of 8612

Prime factors of 8612 are 2, 2153. Prime factorization of 8612 in exponential form is:

8612 = 2² × 2153¹

Step-3: Factors of 8608

List of positive integer factors of 8608 that divides 8608 without a remainder.

1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304

Step-4: Factors of 8612

List of positive integer factors of 8612 that divides 8608 without a remainder.

1, 2, 4, 2153, 4306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8608 and 8612. The biggest common factor number is the GCF number.
So the greatest common factor 8608 and 8612 is 4.

Also check out the Least Common Multiple of 8608 and 8612