What is the Greatest Common Factor of 68598 and 68618?

Greatest common factor (GCF) of 68598 and 68618 is 2.

GCF(68598,68618) = 2

We will now calculate the prime factors of 68598 and 68618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68598 and 68618.

How to find the GCF of 68598 and 68618?

We will first find the prime factorization of 68598 and 68618. After we will calculate the factors of 68598 and 68618 and find the biggest common factor number .

Step-1: Prime Factorization of 68598

Prime factors of 68598 are 2, 3, 37, 103. Prime factorization of 68598 in exponential form is:

68598 = 2¹ × 3² × 37¹ × 103¹

Step-2: Prime Factorization of 68618

Prime factors of 68618 are 2, 11, 3119. Prime factorization of 68618 in exponential form is:

68618 = 2¹ × 11¹ × 3119¹

Step-3: Factors of 68598

List of positive integer factors of 68598 that divides 68598 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 103, 111, 206, 222, 309, 333, 618, 666, 927, 1854, 3811, 7622, 11433, 22866, 34299

Step-4: Factors of 68618

List of positive integer factors of 68618 that divides 68598 without a remainder.

1, 2, 11, 22, 3119, 6238, 34309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68598 and 68618. The biggest common factor number is the GCF number.
So the greatest common factor 68598 and 68618 is 2.

Also check out the Least Common Multiple of 68598 and 68618