What is the Greatest Common Factor of 98703 and 98714?

Greatest common factor (GCF) of 98703 and 98714 is 11.

GCF(98703,98714) = 11

We will now calculate the prime factors of 98703 and 98714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98703 and 98714.

How to find the GCF of 98703 and 98714?

We will first find the prime factorization of 98703 and 98714. After we will calculate the factors of 98703 and 98714 and find the biggest common factor number .

Step-1: Prime Factorization of 98703

Prime factors of 98703 are 3, 11, 997. Prime factorization of 98703 in exponential form is:

98703 = 3² × 11¹ × 997¹

Step-2: Prime Factorization of 98714

Prime factors of 98714 are 2, 7, 11, 641. Prime factorization of 98714 in exponential form is:

98714 = 2¹ × 7¹ × 11¹ × 641¹

Step-3: Factors of 98703

List of positive integer factors of 98703 that divides 98703 without a remainder.

1, 3, 9, 11, 33, 99, 997, 2991, 8973, 10967, 32901

Step-4: Factors of 98714

List of positive integer factors of 98714 that divides 98703 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 641, 1282, 4487, 7051, 8974, 14102, 49357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98703 and 98714. The biggest common factor number is the GCF number.
So the greatest common factor 98703 and 98714 is 11.

Also check out the Least Common Multiple of 98703 and 98714