What is the Greatest Common Factor of 8588 and 8607?

Greatest common factor (GCF) of 8588 and 8607 is 19.

GCF(8588,8607) = 19

We will now calculate the prime factors of 8588 and 8607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8588 and 8607.

How to find the GCF of 8588 and 8607?

We will first find the prime factorization of 8588 and 8607. After we will calculate the factors of 8588 and 8607 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 8607

Prime factors of 8607 are 3, 19, 151. Prime factorization of 8607 in exponential form is:

8607 = 3¹ × 19¹ × 151¹

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 8607

List of positive integer factors of 8607 that divides 8588 without a remainder.

1, 3, 19, 57, 151, 453, 2869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8588 and 8607. The biggest common factor number is the GCF number.
So the greatest common factor 8588 and 8607 is 19.

Also check out the Least Common Multiple of 8588 and 8607