What is the Greatest Common Factor of 98730 and 98735?

Greatest common factor (GCF) of 98730 and 98735 is 5.

GCF(98730,98735) = 5

We will now calculate the prime factors of 98730 and 98735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98730 and 98735.

How to find the GCF of 98730 and 98735?

We will first find the prime factorization of 98730 and 98735. After we will calculate the factors of 98730 and 98735 and find the biggest common factor number .

Step-1: Prime Factorization of 98730

Prime factors of 98730 are 2, 3, 5, 1097. Prime factorization of 98730 in exponential form is:

98730 = 2¹ × 3² × 5¹ × 1097¹

Step-2: 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-3: Factors of 98730

List of positive integer factors of 98730 that divides 98730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1097, 2194, 3291, 5485, 6582, 9873, 10970, 16455, 19746, 32910, 49365

Step-4: Factors of 98735

List of positive integer factors of 98735 that divides 98730 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98730 and 98735. The biggest common factor number is the GCF number.
So the greatest common factor 98730 and 98735 is 5.

Also check out the Least Common Multiple of 98730 and 98735