What is the Greatest Common Factor of 98651 and 98668?

Greatest common factor (GCF) of 98651 and 98668 is 17.

GCF(98651,98668) = 17

We will now calculate the prime factors of 98651 and 98668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98651 and 98668.

How to find the GCF of 98651 and 98668?

We will first find the prime factorization of 98651 and 98668. After we will calculate the factors of 98651 and 98668 and find the biggest common factor number .

Step-1: Prime Factorization of 98651

Prime factors of 98651 are 7, 17, 829. Prime factorization of 98651 in exponential form is:

98651 = 7¹ × 17¹ × 829¹

Step-2: 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-3: Factors of 98651

List of positive integer factors of 98651 that divides 98651 without a remainder.

1, 7, 17, 119, 829, 5803, 14093

Step-4: Factors of 98668

List of positive integer factors of 98668 that divides 98651 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98651 and 98668. The biggest common factor number is the GCF number.
So the greatest common factor 98651 and 98668 is 17.

Also check out the Least Common Multiple of 98651 and 98668