What is the Greatest Common Factor of 9788 and 9800?

Greatest common factor (GCF) of 9788 and 9800 is 4.

GCF(9788,9800) = 4

We will now calculate the prime factors of 9788 and 9800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9788 and 9800.

How to find the GCF of 9788 and 9800?

We will first find the prime factorization of 9788 and 9800. After we will calculate the factors of 9788 and 9800 and find the biggest common factor number .

Step-1: Prime Factorization of 9788

Prime factors of 9788 are 2, 2447. Prime factorization of 9788 in exponential form is:

9788 = 2² × 2447¹

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 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1, 2, 4, 2447, 4894

Step-4: Factors of 9800

List of positive integer factors of 9800 that divides 9788 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 9788 and 9800. The biggest common factor number is the GCF number.
So the greatest common factor 9788 and 9800 is 4.

Also check out the Least Common Multiple of 9788 and 9800