What is the Greatest Common Factor of 34608 and 34623?

Greatest common factor (GCF) of 34608 and 34623 is 3.

GCF(34608,34623) = 3

We will now calculate the prime factors of 34608 and 34623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34623.

How to find the GCF of 34608 and 34623?

We will first find the prime factorization of 34608 and 34623. After we will calculate the factors of 34608 and 34623 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34623

Prime factors of 34623 are 3, 3847. Prime factorization of 34623 in exponential form is:

34623 = 3² × 3847¹

Step-3: Factors of 34608

List of positive integer factors of 34608 that divides 34608 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

Step-4: Factors of 34623

List of positive integer factors of 34623 that divides 34608 without a remainder.

1, 3, 9, 3847, 11541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34623. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34623 is 3.

Also check out the Least Common Multiple of 34608 and 34623