What is the Greatest Common Factor of 8588 and 8608?

Greatest common factor (GCF) of 8588 and 8608 is 4.

GCF(8588,8608) = 4

We will now calculate the prime factors of 8588 and 8608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8588 and 8608.

How to find the GCF of 8588 and 8608?

We will first find the prime factorization of 8588 and 8608. After we will calculate the factors of 8588 and 8608 and find the biggest common factor number .

Step-1: Prime Factorization of 8588

Prime factors of 8588 are 2, 19, 113. Prime factorization of 8588 in exponential form is:

8588 = 2² × 19¹ × 113¹

Step-2: Prime Factorization of 8608

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

8608 = 2⁵ × 269¹

Step-3: Factors of 8588

List of positive integer factors of 8588 that divides 8588 without a remainder.

1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294

Step-4: Factors of 8608

List of positive integer factors of 8608 that divides 8588 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8588 and 8608. The biggest common factor number is the GCF number.
So the greatest common factor 8588 and 8608 is 4.

Also check out the Least Common Multiple of 8588 and 8608