What is the Greatest Common Factor of 98505 and 98511?

Greatest common factor (GCF) of 98505 and 98511 is 3.

GCF(98505,98511) = 3

We will now calculate the prime factors of 98505 and 98511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98505 and 98511.

How to find the GCF of 98505 and 98511?

We will first find the prime factorization of 98505 and 98511. After we will calculate the factors of 98505 and 98511 and find the biggest common factor number .

Step-1: Prime Factorization of 98505

Prime factors of 98505 are 3, 5, 11, 199. Prime factorization of 98505 in exponential form is:

98505 = 3² × 5¹ × 11¹ × 199¹

Step-2: Prime Factorization of 98511

Prime factors of 98511 are 3, 7, 4691. Prime factorization of 98511 in exponential form is:

98511 = 3¹ × 7¹ × 4691¹

Step-3: Factors of 98505

List of positive integer factors of 98505 that divides 98505 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 199, 495, 597, 995, 1791, 2189, 2985, 6567, 8955, 10945, 19701, 32835

Step-4: Factors of 98511

List of positive integer factors of 98511 that divides 98505 without a remainder.

1, 3, 7, 21, 4691, 14073, 32837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98505 and 98511. The biggest common factor number is the GCF number.
So the greatest common factor 98505 and 98511 is 3.

Also check out the Least Common Multiple of 98505 and 98511