What is the Greatest Common Factor of 9954 and 9967?

Greatest common factor (GCF) of 9954 and 9967 is 1.

GCF(9954,9967) = 1

We will now calculate the prime factors of 9954 and 9967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9954 and 9967.

How to find the GCF of 9954 and 9967?

We will first find the prime factorization of 9954 and 9967. After we will calculate the factors of 9954 and 9967 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9967

Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:

9967 = 9967¹

Step-3: Factors of 9954

List of positive integer factors of 9954 that divides 9954 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

Step-4: Factors of 9967

List of positive integer factors of 9967 that divides 9954 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9954 and 9967. The biggest common factor number is the GCF number.
So the greatest common factor 9954 and 9967 is 1.

Also check out the Least Common Multiple of 9954 and 9967