What is the Greatest Common Factor of 69588 and 69606?

Greatest common factor (GCF) of 69588 and 69606 is 18.

GCF(69588,69606) = 18

We will now calculate the prime factors of 69588 and 69606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69588 and 69606.

How to find the GCF of 69588 and 69606?

We will first find the prime factorization of 69588 and 69606. After we will calculate the factors of 69588 and 69606 and find the biggest common factor number .

Step-1: Prime Factorization of 69588

Prime factors of 69588 are 2, 3, 1933. Prime factorization of 69588 in exponential form is:

69588 = 2² × 3² × 1933¹

Step-2: Prime Factorization of 69606

Prime factors of 69606 are 2, 3, 1289. Prime factorization of 69606 in exponential form is:

69606 = 2¹ × 3³ × 1289¹

Step-3: Factors of 69588

List of positive integer factors of 69588 that divides 69588 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1933, 3866, 5799, 7732, 11598, 17397, 23196, 34794

Step-4: Factors of 69606

List of positive integer factors of 69606 that divides 69588 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1289, 2578, 3867, 7734, 11601, 23202, 34803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69588 and 69606. The biggest common factor number is the GCF number.
So the greatest common factor 69588 and 69606 is 18.

Also check out the Least Common Multiple of 69588 and 69606