What is the Greatest Common Factor of 34608 and 34618?

Greatest common factor (GCF) of 34608 and 34618 is 2.

GCF(34608,34618) = 2

We will now calculate the prime factors of 34608 and 34618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34608 and 34618.

How to find the GCF of 34608 and 34618?

We will first find the prime factorization of 34608 and 34618. After we will calculate the factors of 34608 and 34618 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 34618

Prime factors of 34618 are 2, 19, 911. Prime factorization of 34618 in exponential form is:

34618 = 2¹ × 19¹ × 911¹

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 34618

List of positive integer factors of 34618 that divides 34608 without a remainder.

1, 2, 19, 38, 911, 1822, 17309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34608 and 34618. The biggest common factor number is the GCF number.
So the greatest common factor 34608 and 34618 is 2.

Also check out the Least Common Multiple of 34608 and 34618