What is the Greatest Common Factor of 9960 and 9967?

Greatest common factor (GCF) of 9960 and 9967 is 1.

GCF(9960,9967) = 1

We will now calculate the prime factors of 9960 and 9967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9960 and 9967.

How to find the GCF of 9960 and 9967?

We will first find the prime factorization of 9960 and 9967. After we will calculate the factors of 9960 and 9967 and find the biggest common factor number .

Step-1: Prime Factorization of 9960

Prime factors of 9960 are 2, 3, 5, 83. Prime factorization of 9960 in exponential form is:

9960 = 2³ × 3¹ × 5¹ × 83¹

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 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980

Step-4: Factors of 9967

List of positive integer factors of 9967 that divides 9960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9960 and 9967. The biggest common factor number is the GCF number.
So the greatest common factor 9960 and 9967 is 1.

Also check out the Least Common Multiple of 9960 and 9967