What is the Greatest Common Factor of 98735 and 98749?

Greatest common factor (GCF) of 98735 and 98749 is 7.

GCF(98735,98749) = 7

We will now calculate the prime factors of 98735 and 98749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98735 and 98749.

How to find the GCF of 98735 and 98749?

We will first find the prime factorization of 98735 and 98749. After we will calculate the factors of 98735 and 98749 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 98749

Prime factors of 98749 are 7, 14107. Prime factorization of 98749 in exponential form is:

98749 = 7¹ × 14107¹

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 98749

List of positive integer factors of 98749 that divides 98735 without a remainder.

1, 7, 14107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98735 and 98749. The biggest common factor number is the GCF number.
So the greatest common factor 98735 and 98749 is 7.

Also check out the Least Common Multiple of 98735 and 98749