What is the Greatest Common Factor of 68679 and 68698?

Greatest common factor (GCF) of 68679 and 68698 is 1.

GCF(68679,68698) = 1

We will now calculate the prime factors of 68679 and 68698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68679 and 68698.

How to find the GCF of 68679 and 68698?

We will first find the prime factorization of 68679 and 68698. After we will calculate the factors of 68679 and 68698 and find the biggest common factor number .

Step-1: Prime Factorization of 68679

Prime factors of 68679 are 3, 13, 587. Prime factorization of 68679 in exponential form is:

68679 = 3² × 13¹ × 587¹

Step-2: Prime Factorization of 68698

Prime factors of 68698 are 2, 7, 701. Prime factorization of 68698 in exponential form is:

68698 = 2¹ × 7² × 701¹

Step-3: Factors of 68679

List of positive integer factors of 68679 that divides 68679 without a remainder.

1, 3, 9, 13, 39, 117, 587, 1761, 5283, 7631, 22893

Step-4: Factors of 68698

List of positive integer factors of 68698 that divides 68679 without a remainder.

1, 2, 7, 14, 49, 98, 701, 1402, 4907, 9814, 34349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68679 and 68698. The biggest common factor number is the GCF number.
So the greatest common factor 68679 and 68698 is 1.

Also check out the Least Common Multiple of 68679 and 68698