What is the Greatest Common Factor of 9800 and 9809?

Greatest common factor (GCF) of 9800 and 9809 is 1.

GCF(9800,9809) = 1

We will now calculate the prime factors of 9800 and 9809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9800 and 9809.

How to find the GCF of 9800 and 9809?

We will first find the prime factorization of 9800 and 9809. After we will calculate the factors of 9800 and 9809 and find the biggest common factor number .

Step-1: Prime Factorization of 9800

Prime factors of 9800 are 2, 5, 7. Prime factorization of 9800 in exponential form is:

9800 = 2³ × 5² × 7²

Step-2: Prime Factorization of 9809

Prime factors of 9809 are 17, 577. Prime factorization of 9809 in exponential form is:

9809 = 17¹ × 577¹

Step-3: Factors of 9800

List of positive integer factors of 9800 that divides 9800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900

Step-4: Factors of 9809

List of positive integer factors of 9809 that divides 9800 without a remainder.

1, 17, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9800 and 9809. The biggest common factor number is the GCF number.
So the greatest common factor 9800 and 9809 is 1.

Also check out the Least Common Multiple of 9800 and 9809