What is the Greatest Common Factor of 68607 and 68618?

Greatest common factor (GCF) of 68607 and 68618 is 11.

GCF(68607,68618) = 11

We will now calculate the prime factors of 68607 and 68618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68607 and 68618.

How to find the GCF of 68607 and 68618?

We will first find the prime factorization of 68607 and 68618. After we will calculate the factors of 68607 and 68618 and find the biggest common factor number .

Step-1: Prime Factorization of 68607

Prime factors of 68607 are 3, 7, 11. Prime factorization of 68607 in exponential form is:

68607 = 3⁴ × 7¹ × 11²

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 68607

List of positive integer factors of 68607 that divides 68607 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 121, 189, 231, 297, 363, 567, 693, 847, 891, 1089, 2079, 2541, 3267, 6237, 7623, 9801, 22869

Step-4: Factors of 68618

List of positive integer factors of 68618 that divides 68607 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68607 and 68618. The biggest common factor number is the GCF number.
So the greatest common factor 68607 and 68618 is 11.

Also check out the Least Common Multiple of 68607 and 68618