What is the Greatest Common Factor of 98668 and 98686?

Greatest common factor (GCF) of 98668 and 98686 is 2.

GCF(98668,98686) = 2

We will now calculate the prime factors of 98668 and 98686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98668 and 98686.

How to find the GCF of 98668 and 98686?

We will first find the prime factorization of 98668 and 98686. After we will calculate the factors of 98668 and 98686 and find the biggest common factor number .

Step-1: Prime Factorization of 98668

Prime factors of 98668 are 2, 17, 1451. Prime factorization of 98668 in exponential form is:

98668 = 2² × 17¹ × 1451¹

Step-2: Prime Factorization of 98686

Prime factors of 98686 are 2, 7, 19, 53. Prime factorization of 98686 in exponential form is:

98686 = 2¹ × 7² × 19¹ × 53¹

Step-3: Factors of 98668

List of positive integer factors of 98668 that divides 98668 without a remainder.

1, 2, 4, 17, 34, 68, 1451, 2902, 5804, 24667, 49334

Step-4: Factors of 98686

List of positive integer factors of 98686 that divides 98668 without a remainder.

1, 2, 7, 14, 19, 38, 49, 53, 98, 106, 133, 266, 371, 742, 931, 1007, 1862, 2014, 2597, 5194, 7049, 14098, 49343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98668 and 98686. The biggest common factor number is the GCF number.
So the greatest common factor 98668 and 98686 is 2.

Also check out the Least Common Multiple of 98668 and 98686