What is the Greatest Common Factor of 34599 and 34608?

Greatest common factor (GCF) of 34599 and 34608 is 3.

GCF(34599,34608) = 3

We will now calculate the prime factors of 34599 and 34608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34599 and 34608.

How to find the GCF of 34599 and 34608?

We will first find the prime factorization of 34599 and 34608. After we will calculate the factors of 34599 and 34608 and find the biggest common factor number .

Step-1: Prime Factorization of 34599

Prime factors of 34599 are 3, 19, 607. Prime factorization of 34599 in exponential form is:

34599 = 3¹ × 19¹ × 607¹

Step-2: Prime Factorization of 34608

Prime factors of 34608 are 2, 3, 7, 103. Prime factorization of 34608 in exponential form is:

34608 = 2⁴ × 3¹ × 7¹ × 103¹

Step-3: Factors of 34599

List of positive integer factors of 34599 that divides 34599 without a remainder.

1, 3, 19, 57, 607, 1821, 11533

Step-4: Factors of 34608

List of positive integer factors of 34608 that divides 34599 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 103, 112, 168, 206, 309, 336, 412, 618, 721, 824, 1236, 1442, 1648, 2163, 2472, 2884, 4326, 4944, 5768, 8652, 11536, 17304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34599 and 34608. The biggest common factor number is the GCF number.
So the greatest common factor 34599 and 34608 is 3.

Also check out the Least Common Multiple of 34599 and 34608