What is the Greatest Common Factor of 9790 and 9800?

Greatest common factor (GCF) of 9790 and 9800 is 10.

GCF(9790,9800) = 10

We will now calculate the prime factors of 9790 and 9800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9790 and 9800.

How to find the GCF of 9790 and 9800?

We will first find the prime factorization of 9790 and 9800. After we will calculate the factors of 9790 and 9800 and find the biggest common factor number .

Step-1: Prime Factorization of 9790

Prime factors of 9790 are 2, 5, 11, 89. Prime factorization of 9790 in exponential form is:

9790 = 2¹ × 5¹ × 11¹ × 89¹

Step-2: 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-3: Factors of 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895

Step-4: Factors of 9800

List of positive integer factors of 9800 that divides 9790 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9790 and 9800. The biggest common factor number is the GCF number.
So the greatest common factor 9790 and 9800 is 10.

Also check out the Least Common Multiple of 9790 and 9800