What is the Greatest Common Factor of 98735 and 98741?

Greatest common factor (GCF) of 98735 and 98741 is 1.

GCF(98735,98741) = 1

We will now calculate the prime factors of 98735 and 98741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98735 and 98741.

How to find the GCF of 98735 and 98741?

We will first find the prime factorization of 98735 and 98741. After we will calculate the factors of 98735 and 98741 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 98741

Prime factors of 98741 are 293, 337. Prime factorization of 98741 in exponential form is:

98741 = 293¹ × 337¹

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 98741

List of positive integer factors of 98741 that divides 98735 without a remainder.

1, 293, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98735 and 98741. The biggest common factor number is the GCF number.
So the greatest common factor 98735 and 98741 is 1.

Also check out the Least Common Multiple of 98735 and 98741