What is the Greatest Common Factor of 9945 and 9958?

Greatest common factor (GCF) of 9945 and 9958 is 13.

GCF(9945,9958) = 13

We will now calculate the prime factors of 9945 and 9958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9945 and 9958.

How to find the GCF of 9945 and 9958?

We will first find the prime factorization of 9945 and 9958. After we will calculate the factors of 9945 and 9958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9958

Prime factors of 9958 are 2, 13, 383. Prime factorization of 9958 in exponential form is:

9958 = 2¹ × 13¹ × 383¹

Step-3: Factors of 9945

List of positive integer factors of 9945 that divides 9945 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

Step-4: Factors of 9958

List of positive integer factors of 9958 that divides 9945 without a remainder.

1, 2, 13, 26, 383, 766, 4979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9945 and 9958. The biggest common factor number is the GCF number.
So the greatest common factor 9945 and 9958 is 13.

Also check out the Least Common Multiple of 9945 and 9958