What is the Greatest Common Factor of 9925 and 9930?

Greatest common factor (GCF) of 9925 and 9930 is 5.

GCF(9925,9930) = 5

We will now calculate the prime factors of 9925 and 9930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9925 and 9930.

How to find the GCF of 9925 and 9930?

We will first find the prime factorization of 9925 and 9930. After we will calculate the factors of 9925 and 9930 and find the biggest common factor number .

Step-1: Prime Factorization of 9925

Prime factors of 9925 are 5, 397. Prime factorization of 9925 in exponential form is:

9925 = 5² × 397¹

Step-2: Prime Factorization of 9930

Prime factors of 9930 are 2, 3, 5, 331. Prime factorization of 9930 in exponential form is:

9930 = 2¹ × 3¹ × 5¹ × 331¹

Step-3: Factors of 9925

List of positive integer factors of 9925 that divides 9925 without a remainder.

1, 5, 25, 397, 1985

Step-4: Factors of 9930

List of positive integer factors of 9930 that divides 9925 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9925 and 9930. The biggest common factor number is the GCF number.
So the greatest common factor 9925 and 9930 is 5.

Also check out the Least Common Multiple of 9925 and 9930