What is the Greatest Common Factor of 8608 and 8614?

Greatest common factor (GCF) of 8608 and 8614 is 2.

GCF(8608,8614) = 2

We will now calculate the prime factors of 8608 and 8614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8608 and 8614.

How to find the GCF of 8608 and 8614?

We will first find the prime factorization of 8608 and 8614. After we will calculate the factors of 8608 and 8614 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 8614

Prime factors of 8614 are 2, 59, 73. Prime factorization of 8614 in exponential form is:

8614 = 2¹ × 59¹ × 73¹

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 8614

List of positive integer factors of 8614 that divides 8608 without a remainder.

1, 2, 59, 73, 118, 146, 4307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8608 and 8614. The biggest common factor number is the GCF number.
So the greatest common factor 8608 and 8614 is 2.

Also check out the Least Common Multiple of 8608 and 8614