What is the Greatest Common Factor of 98735 and 98743?

Greatest common factor (GCF) of 98735 and 98743 is 1.

GCF(98735,98743) = 1

We will now calculate the prime factors of 98735 and 98743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98735 and 98743.

How to find the GCF of 98735 and 98743?

We will first find the prime factorization of 98735 and 98743. After we will calculate the factors of 98735 and 98743 and find the biggest common factor number .

Step-1: Prime Factorization of 98735

Prime factors of 98735 are 5, 7, 13, 31. Prime factorization of 98735 in exponential form is:

98735 = 5¹ × 7² × 13¹ × 31¹

Step-2: Prime Factorization of 98743

Prime factors of 98743 are 19, 5197. Prime factorization of 98743 in exponential form is:

98743 = 19¹ × 5197¹

Step-3: Factors of 98735

List of positive integer factors of 98735 that divides 98735 without a remainder.

1, 5, 7, 13, 31, 35, 49, 65, 91, 155, 217, 245, 403, 455, 637, 1085, 1519, 2015, 2821, 3185, 7595, 14105, 19747

Step-4: Factors of 98743

List of positive integer factors of 98743 that divides 98735 without a remainder.

1, 19, 5197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98735 and 98743. The biggest common factor number is the GCF number.
So the greatest common factor 98735 and 98743 is 1.

Also check out the Least Common Multiple of 98735 and 98743