What is the Greatest Common Factor of 98535 and 98545?

Greatest common factor (GCF) of 98535 and 98545 is 5.

GCF(98535,98545) = 5

We will now calculate the prime factors of 98535 and 98545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98535 and 98545.

How to find the GCF of 98535 and 98545?

We will first find the prime factorization of 98535 and 98545. After we will calculate the factors of 98535 and 98545 and find the biggest common factor number .

Step-1: Prime Factorization of 98535

Prime factors of 98535 are 3, 5, 6569. Prime factorization of 98535 in exponential form is:

98535 = 3¹ × 5¹ × 6569¹

Step-2: Prime Factorization of 98545

Prime factors of 98545 are 5, 19709. Prime factorization of 98545 in exponential form is:

98545 = 5¹ × 19709¹

Step-3: Factors of 98535

List of positive integer factors of 98535 that divides 98535 without a remainder.

1, 3, 5, 15, 6569, 19707, 32845

Step-4: Factors of 98545

List of positive integer factors of 98545 that divides 98535 without a remainder.

1, 5, 19709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98535 and 98545. The biggest common factor number is the GCF number.
So the greatest common factor 98535 and 98545 is 5.

Also check out the Least Common Multiple of 98535 and 98545