What is the Greatest Common Factor of 69579 and 69588?

Greatest common factor (GCF) of 69579 and 69588 is 9.

GCF(69579,69588) = 9

We will now calculate the prime factors of 69579 and 69588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69579 and 69588.

How to find the GCF of 69579 and 69588?

We will first find the prime factorization of 69579 and 69588. After we will calculate the factors of 69579 and 69588 and find the biggest common factor number .

Step-1: Prime Factorization of 69579

Prime factors of 69579 are 3, 859. Prime factorization of 69579 in exponential form is:

69579 = 3⁴ × 859¹

Step-2: 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-3: Factors of 69579

List of positive integer factors of 69579 that divides 69579 without a remainder.

1, 3, 9, 27, 81, 859, 2577, 7731, 23193

Step-4: Factors of 69588

List of positive integer factors of 69588 that divides 69579 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69579 and 69588. The biggest common factor number is the GCF number.
So the greatest common factor 69579 and 69588 is 9.

Also check out the Least Common Multiple of 69579 and 69588