What is the Greatest Common Factor of 9925 and 9945?

Greatest common factor (GCF) of 9925 and 9945 is 5.

GCF(9925,9945) = 5

We will now calculate the prime factors of 9925 and 9945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9925 and 9945.

How to find the GCF of 9925 and 9945?

We will first find the prime factorization of 9925 and 9945. After we will calculate the factors of 9925 and 9945 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 9945

Prime factors of 9945 are 3, 5, 13, 17. Prime factorization of 9945 in exponential form is:

9945 = 3² × 5¹ × 13¹ × 17¹

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 9945

List of positive integer factors of 9945 that divides 9925 without a remainder.

1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9925 and 9945. The biggest common factor number is the GCF number.
So the greatest common factor 9925 and 9945 is 5.

Also check out the Least Common Multiple of 9925 and 9945