What is the Greatest Common Factor of 68178 and 68189?

Greatest common factor (GCF) of 68178 and 68189 is 11.

GCF(68178,68189) = 11

We will now calculate the prime factors of 68178 and 68189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68178 and 68189.

How to find the GCF of 68178 and 68189?

We will first find the prime factorization of 68178 and 68189. After we will calculate the factors of 68178 and 68189 and find the biggest common factor number .

Step-1: Prime Factorization of 68178

Prime factors of 68178 are 2, 3, 11, 1033. Prime factorization of 68178 in exponential form is:

68178 = 2¹ × 3¹ × 11¹ × 1033¹

Step-2: Prime Factorization of 68189

Prime factors of 68189 are 11, 6199. Prime factorization of 68189 in exponential form is:

68189 = 11¹ × 6199¹

Step-3: Factors of 68178

List of positive integer factors of 68178 that divides 68178 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1033, 2066, 3099, 6198, 11363, 22726, 34089

Step-4: Factors of 68189

List of positive integer factors of 68189 that divides 68178 without a remainder.

1, 11, 6199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68178 and 68189. The biggest common factor number is the GCF number.
So the greatest common factor 68178 and 68189 is 11.

Also check out the Least Common Multiple of 68178 and 68189