What is the Greatest Common Factor of 68660 and 68678?

Greatest common factor (GCF) of 68660 and 68678 is 2.

GCF(68660,68678) = 2

We will now calculate the prime factors of 68660 and 68678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68660 and 68678.

How to find the GCF of 68660 and 68678?

We will first find the prime factorization of 68660 and 68678. After we will calculate the factors of 68660 and 68678 and find the biggest common factor number .

Step-1: Prime Factorization of 68660

Prime factors of 68660 are 2, 5, 3433. Prime factorization of 68660 in exponential form is:

68660 = 2² × 5¹ × 3433¹

Step-2: Prime Factorization of 68678

Prime factors of 68678 are 2, 23, 1493. Prime factorization of 68678 in exponential form is:

68678 = 2¹ × 23¹ × 1493¹

Step-3: Factors of 68660

List of positive integer factors of 68660 that divides 68660 without a remainder.

1, 2, 4, 5, 10, 20, 3433, 6866, 13732, 17165, 34330

Step-4: Factors of 68678

List of positive integer factors of 68678 that divides 68660 without a remainder.

1, 2, 23, 46, 1493, 2986, 34339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68660 and 68678. The biggest common factor number is the GCF number.
So the greatest common factor 68660 and 68678 is 2.

Also check out the Least Common Multiple of 68660 and 68678