What is the Greatest Common Factor of 98505 and 98522?

Greatest common factor (GCF) of 98505 and 98522 is 1.

GCF(98505,98522) = 1

We will now calculate the prime factors of 98505 and 98522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98505 and 98522.

How to find the GCF of 98505 and 98522?

We will first find the prime factorization of 98505 and 98522. After we will calculate the factors of 98505 and 98522 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 98522

Prime factors of 98522 are 2, 49261. Prime factorization of 98522 in exponential form is:

98522 = 2¹ × 49261¹

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 98522

List of positive integer factors of 98522 that divides 98505 without a remainder.

1, 2, 49261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98505 and 98522. The biggest common factor number is the GCF number.
So the greatest common factor 98505 and 98522 is 1.

Also check out the Least Common Multiple of 98505 and 98522