What is the Greatest Common Factor of 9942 and 9954?

Greatest common factor (GCF) of 9942 and 9954 is 6.

GCF(9942,9954) = 6

We will now calculate the prime factors of 9942 and 9954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9942 and 9954.

How to find the GCF of 9942 and 9954?

We will first find the prime factorization of 9942 and 9954. After we will calculate the factors of 9942 and 9954 and find the biggest common factor number .

Step-1: Prime Factorization of 9942

Prime factors of 9942 are 2, 3, 1657. Prime factorization of 9942 in exponential form is:

9942 = 2¹ × 3¹ × 1657¹

Step-2: Prime Factorization of 9954

Prime factors of 9954 are 2, 3, 7, 79. Prime factorization of 9954 in exponential form is:

9954 = 2¹ × 3² × 7¹ × 79¹

Step-3: Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1, 2, 3, 6, 1657, 3314, 4971

Step-4: Factors of 9954

List of positive integer factors of 9954 that divides 9942 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9942 and 9954. The biggest common factor number is the GCF number.
So the greatest common factor 9942 and 9954 is 6.

Also check out the Least Common Multiple of 9942 and 9954