Greatest Common Factor of 9972 and 9976

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 9972, 9976 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9972 and 9976 is 4.

GCF(9972,9976) = 4

GCF of 9972 and 9976

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

GCF of:
and

Greatest Common Factor of 9972 and 9976

GCF of 9972 and 9976 is 4

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

Prime Factorization of 9976


2 9976
2 4988
2 2494
29 1247
43 43
1

Prime factors of 9976 are 2,29,43. Prime factorization of 9976 in exponential form is:

9976 = 23×291×431

∴ So by taking common prime factors GCF of 9972 and 9976 is 4

Greatest Common Factor of 9972 and 9976 by matching factors method

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

Factors of 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976

Greatest Common Factor

We found the factors and prime factorization of 9972 and 9976. The biggest common factor number is the GCF number.
So the greatest common factor 9972 and 9976 is 4.

Also check out the Least Common Multiple of 9972 and 9976

Properties of GCF 9972 and 9976

(i) The GCF of 9972 and 9976 is associative

GCF of 9972 and 9976 = GCF of 9976 and 9972

Related Greatest Common Factor of 9972

Related Greatest Common Factor of 9976

Frequently Asked Questions on GCF of 9972 and 9976

1. What is the GCF of 9972 and 9976?

Answer: GCF of 9972 and 9976 is 4.

2. 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.

3. What are the Factors of 9976?

Answer: Factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976. There are 16 integers that are factors of 9976. The greatest factor of 9976 is 9976.

4. How to Find the GCF of 9972 and 9976?

Answer:

Greatest Common Factor of 9972 and 9976 = 4

Step 1: Find the prime factorization of 9972

9972 = 2 x 2 x 3 x 3 x 277

Step 2: Find the prime factorization of 9976

9976 = 2 x 2 x 2 x 29 x 43

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9972 and 9976 is 4