What is the Greatest Common Factor of 98005 and 98018?

Greatest common factor (GCF) of 98005 and 98018 is 1.

GCF(98005,98018) = 1

We will now calculate the prime factors of 98005 and 98018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98005 and 98018.

How to find the GCF of 98005 and 98018?

We will first find the prime factorization of 98005 and 98018. After we will calculate the factors of 98005 and 98018 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 98018

Prime factors of 98018 are 2, 49009. Prime factorization of 98018 in exponential form is:

98018 = 2¹ × 49009¹

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 98018

List of positive integer factors of 98018 that divides 98005 without a remainder.

1, 2, 49009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98005 and 98018. The biggest common factor number is the GCF number.
So the greatest common factor 98005 and 98018 is 1.

Also check out the Least Common Multiple of 98005 and 98018