What is the Greatest Common Factor of 34608 and 34626?

Greatest common factor (GCF) of 34608 and 34626 is 6.

GCF(34608,34626) = 6

We will now calculate the prime factors of 34608 and 34626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34626.

How to find the GCF of 34608 and 34626?

We will first find the prime factorization of 34608 and 34626. After we will calculate the factors of 34608 and 34626 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 34626

Prime factors of 34626 are 2, 3, 29, 199. Prime factorization of 34626 in exponential form is:

34626 = 2¹ × 3¹ × 29¹ × 199¹

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 34626

List of positive integer factors of 34626 that divides 34608 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 199, 398, 597, 1194, 5771, 11542, 17313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34626. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34626 is 6.

Also check out the Least Common Multiple of 34608 and 34626