What is the Greatest Common Factor of 9795 and 9800?

Greatest common factor (GCF) of 9795 and 9800 is 5.

GCF(9795,9800) = 5

We will now calculate the prime factors of 9795 and 9800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9795 and 9800.

How to find the GCF of 9795 and 9800?

We will first find the prime factorization of 9795 and 9800. After we will calculate the factors of 9795 and 9800 and find the biggest common factor number .

Step-1: Prime Factorization of 9795

Prime factors of 9795 are 3, 5, 653. Prime factorization of 9795 in exponential form is:

9795 = 3¹ × 5¹ × 653¹

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 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1, 3, 5, 15, 653, 1959, 3265

Step-4: Factors of 9800

List of positive integer factors of 9800 that divides 9795 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 9795 and 9800. The biggest common factor number is the GCF number.
So the greatest common factor 9795 and 9800 is 5.

Also check out the Least Common Multiple of 9795 and 9800