What is the Greatest Common Factor of 34566 and 34584?

Greatest common factor (GCF) of 34566 and 34584 is 6.

GCF(34566,34584) = 6

We will now calculate the prime factors of 34566 and 34584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34566 and 34584.

How to find the GCF of 34566 and 34584?

We will first find the prime factorization of 34566 and 34584. After we will calculate the factors of 34566 and 34584 and find the biggest common factor number .

Step-1: Prime Factorization of 34566

Prime factors of 34566 are 2, 3, 7, 823. Prime factorization of 34566 in exponential form is:

34566 = 2¹ × 3¹ × 7¹ × 823¹

Step-2: Prime Factorization of 34584

Prime factors of 34584 are 2, 3, 11, 131. Prime factorization of 34584 in exponential form is:

34584 = 2³ × 3¹ × 11¹ × 131¹

Step-3: Factors of 34566

List of positive integer factors of 34566 that divides 34566 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 823, 1646, 2469, 4938, 5761, 11522, 17283

Step-4: Factors of 34584

List of positive integer factors of 34584 that divides 34566 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 131, 132, 262, 264, 393, 524, 786, 1048, 1441, 1572, 2882, 3144, 4323, 5764, 8646, 11528, 17292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34566 and 34584. The biggest common factor number is the GCF number.
So the greatest common factor 34566 and 34584 is 6.

Also check out the Least Common Multiple of 34566 and 34584