What is the Greatest Common Factor of 98705 and 98721?

Greatest common factor (GCF) of 98705 and 98721 is 1.

GCF(98705,98721) = 1

We will now calculate the prime factors of 98705 and 98721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98705 and 98721.

How to find the GCF of 98705 and 98721?

We will first find the prime factorization of 98705 and 98721. After we will calculate the factors of 98705 and 98721 and find the biggest common factor number .

Step-1: Prime Factorization of 98705

Prime factors of 98705 are 5, 19, 1039. Prime factorization of 98705 in exponential form is:

98705 = 5¹ × 19¹ × 1039¹

Step-2: Prime Factorization of 98721

Prime factors of 98721 are 3, 7, 1567. Prime factorization of 98721 in exponential form is:

98721 = 3² × 7¹ × 1567¹

Step-3: Factors of 98705

List of positive integer factors of 98705 that divides 98705 without a remainder.

1, 5, 19, 95, 1039, 5195, 19741

Step-4: Factors of 98721

List of positive integer factors of 98721 that divides 98705 without a remainder.

1, 3, 7, 9, 21, 63, 1567, 4701, 10969, 14103, 32907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98705 and 98721. The biggest common factor number is the GCF number.
So the greatest common factor 98705 and 98721 is 1.

Also check out the Least Common Multiple of 98705 and 98721