What is the Greatest Common Factor of 9800 and 9820?

Greatest common factor (GCF) of 9800 and 9820 is 20.

GCF(9800,9820) = 20

We will now calculate the prime factors of 9800 and 9820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9800 and 9820.

How to find the GCF of 9800 and 9820?

We will first find the prime factorization of 9800 and 9820. After we will calculate the factors of 9800 and 9820 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 9820

Prime factors of 9820 are 2, 5, 491. Prime factorization of 9820 in exponential form is:

9820 = 2² × 5¹ × 491¹

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 9820

List of positive integer factors of 9820 that divides 9800 without a remainder.

1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9800 and 9820. The biggest common factor number is the GCF number.
So the greatest common factor 9800 and 9820 is 20.

Also check out the Least Common Multiple of 9800 and 9820