What is the Greatest Common Factor of 34587 and 34596?

Greatest common factor (GCF) of 34587 and 34596 is 9.

GCF(34587,34596) = 9

We will now calculate the prime factors of 34587 and 34596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34587 and 34596.

How to find the GCF of 34587 and 34596?

We will first find the prime factorization of 34587 and 34596. After we will calculate the factors of 34587 and 34596 and find the biggest common factor number .

Step-1: Prime Factorization of 34587

Prime factors of 34587 are 3, 7, 61. Prime factorization of 34587 in exponential form is:

34587 = 3⁴ × 7¹ × 61¹

Step-2: Prime Factorization of 34596

Prime factors of 34596 are 2, 3, 31. Prime factorization of 34596 in exponential form is:

34596 = 2² × 3² × 31²

Step-3: Factors of 34587

List of positive integer factors of 34587 that divides 34587 without a remainder.

1, 3, 7, 9, 21, 27, 61, 63, 81, 183, 189, 427, 549, 567, 1281, 1647, 3843, 4941, 11529

Step-4: Factors of 34596

List of positive integer factors of 34596 that divides 34587 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 961, 1116, 1922, 2883, 3844, 5766, 8649, 11532, 17298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34587 and 34596. The biggest common factor number is the GCF number.
So the greatest common factor 34587 and 34596 is 9.

Also check out the Least Common Multiple of 34587 and 34596