What is the Greatest Common Factor of 9800 and 9810?

Greatest common factor (GCF) of 9800 and 9810 is 10.

GCF(9800,9810) = 10

We will now calculate the prime factors of 9800 and 9810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9800 and 9810.

How to find the GCF of 9800 and 9810?

We will first find the prime factorization of 9800 and 9810. After we will calculate the factors of 9800 and 9810 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 9810

Prime factors of 9810 are 2, 3, 5, 109. Prime factorization of 9810 in exponential form is:

9810 = 2¹ × 3² × 5¹ × 109¹

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 9810

List of positive integer factors of 9810 that divides 9800 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9800 and 9810. The biggest common factor number is the GCF number.
So the greatest common factor 9800 and 9810 is 10.

Also check out the Least Common Multiple of 9800 and 9810