What is the Greatest Common Factor of 68689 and 68708?

Greatest common factor (GCF) of 68689 and 68708 is 1.

GCF(68689,68708) = 1

We will now calculate the prime factors of 68689 and 68708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68689 and 68708.

How to find the GCF of 68689 and 68708?

We will first find the prime factorization of 68689 and 68708. After we will calculate the factors of 68689 and 68708 and find the biggest common factor number .

Step-1: Prime Factorization of 68689

Prime factors of 68689 are 149, 461. Prime factorization of 68689 in exponential form is:

68689 = 149¹ × 461¹

Step-2: Prime Factorization of 68708

Prime factors of 68708 are 2, 89, 193. Prime factorization of 68708 in exponential form is:

68708 = 2² × 89¹ × 193¹

Step-3: Factors of 68689

List of positive integer factors of 68689 that divides 68689 without a remainder.

1, 149, 461

Step-4: Factors of 68708

List of positive integer factors of 68708 that divides 68689 without a remainder.

1, 2, 4, 89, 178, 193, 356, 386, 772, 17177, 34354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68689 and 68708. The biggest common factor number is the GCF number.
So the greatest common factor 68689 and 68708 is 1.

Also check out the Least Common Multiple of 68689 and 68708