Greatest Common Factor of 9969 and 9972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9969, 9972 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9969 and 9972 is 3.

GCF(9969,9972) = 3

GCF of 9969 and 9972

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9969 and 9972

GCF of 9969 and 9972 is 3

Prime Factorization of 9969


3 9969
3323 3323
1

Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:

9969 = 31×33231

Prime Factorization of 9972


2 9972
2 4986
3 2493
3 831
277 277
1

Prime factors of 9972 are 2,3,277. Prime factorization of 9972 in exponential form is:

9972 = 22×32×2771

∴ So by taking common prime factors GCF of 9969 and 9972 is 3

Greatest Common Factor of 9969 and 9972 by matching factors method

Factors of 9969

List of positive integer factors of 9969 that divides 9969 without a remainder.

1,3,3323,9969

Factors of 9972

List of positive integer factors of 9972 that divides 9972 without a remainder.

1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972

Greatest Common Factor

We found the factors and prime factorization of 9969 and 9972. The biggest common factor number is the GCF number.
So the greatest common factor 9969 and 9972 is 3.

Also check out the Least Common Multiple of 9969 and 9972

Properties of GCF 9969 and 9972

(i) The GCF of 9969 and 9972 is associative

GCF of 9969 and 9972 = GCF of 9972 and 9969

Related Greatest Common Factor of 9969

Related Greatest Common Factor of 9972

Frequently Asked Questions on GCF of 9969 and 9972

1. What is the GCF of 9969 and 9972?

Answer: GCF of 9969 and 9972 is 3.

2. What are the Factors of 9969?

Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.

3. What are the Factors of 9972?

Answer: Factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972. There are 18 integers that are factors of 9972. The greatest factor of 9972 is 9972.

4. How to Find the GCF of 9969 and 9972?

Answer:

Greatest Common Factor of 9969 and 9972 = 3

Step 1: Find the prime factorization of 9969

9969 = 3 x 3323

Step 2: Find the prime factorization of 9972

9972 = 2 x 2 x 3 x 3 x 277

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9969 and 9972 is 3