What is the Greatest Common Factor of 9945 and 9962?

Greatest common factor (GCF) of 9945 and 9962 is 17.

GCF(9945,9962) = 17

We will now calculate the prime factors of 9945 and 9962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9945 and 9962.

How to find the GCF of 9945 and 9962?

We will first find the prime factorization of 9945 and 9962. After we will calculate the factors of 9945 and 9962 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 9962

Prime factors of 9962 are 2, 17, 293. Prime factorization of 9962 in exponential form is:

9962 = 2¹ × 17¹ × 293¹

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 9962

List of positive integer factors of 9962 that divides 9945 without a remainder.

1, 2, 17, 34, 293, 586, 4981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9945 and 9962. The biggest common factor number is the GCF number.
So the greatest common factor 9945 and 9962 is 17.

Also check out the Least Common Multiple of 9945 and 9962