What is the Greatest Common Factor of 98005 and 98009?

Greatest common factor (GCF) of 98005 and 98009 is 1.

GCF(98005,98009) = 1

We will now calculate the prime factors of 98005 and 98009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98005 and 98009.

How to find the GCF of 98005 and 98009?

We will first find the prime factorization of 98005 and 98009. After we will calculate the factors of 98005 and 98009 and find the biggest common factor number .

Step-1: Prime Factorization of 98005

Prime factors of 98005 are 5, 17, 1153. Prime factorization of 98005 in exponential form is:

98005 = 5¹ × 17¹ × 1153¹

Step-2: Prime Factorization of 98009

Prime factors of 98009 are 98009. Prime factorization of 98009 in exponential form is:

98009 = 98009¹

Step-3: Factors of 98005

List of positive integer factors of 98005 that divides 98005 without a remainder.

1, 5, 17, 85, 1153, 5765, 19601

Step-4: Factors of 98009

List of positive integer factors of 98009 that divides 98005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98005 and 98009. The biggest common factor number is the GCF number.
So the greatest common factor 98005 and 98009 is 1.

Also check out the Least Common Multiple of 98005 and 98009