Greatest Common Factor of 8982 and 8988

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 8982, 8988 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8982 and 8988 is 6.

GCF(8982,8988) = 6

GCF of 8982 and 8988

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

GCF of:
and

Greatest Common Factor of 8982 and 8988

GCF of 8982 and 8988 is 6

Prime Factorization of 8982


2 8982
3 4491
3 1497
499 499
1

Prime factors of 8982 are 2,3,499. Prime factorization of 8982 in exponential form is:

8982 = 21×32×4991

Prime Factorization of 8988


2 8988
2 4494
3 2247
7 749
107 107
1

Prime factors of 8988 are 2,3,7,107. Prime factorization of 8988 in exponential form is:

8988 = 22×31×71×1071

∴ So by taking common prime factors GCF of 8982 and 8988 is 6

Greatest Common Factor of 8982 and 8988 by matching factors method

Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1,2,3,6,9,18,499,998,1497,2994,4491,8982

Factors of 8988

List of positive integer factors of 8988 that divides 8988 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,107,214,321,428,642,749,1284,1498,2247,2996,4494,8988

Greatest Common Factor

We found the factors and prime factorization of 8982 and 8988. The biggest common factor number is the GCF number.
So the greatest common factor 8982 and 8988 is 6.

Also check out the Least Common Multiple of 8982 and 8988

Properties of GCF 8982 and 8988

(i) The GCF of 8982 and 8988 is associative

GCF of 8982 and 8988 = GCF of 8988 and 8982

Related Greatest Common Factor of 8982

Related Greatest Common Factor of 8988

Frequently Asked Questions on GCF of 8982 and 8988

1. What is the GCF of 8982 and 8988?

Answer: GCF of 8982 and 8988 is 6.

2. What are the Factors of 8982?

Answer: Factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982. There are 12 integers that are factors of 8982. The greatest factor of 8982 is 8982.

3. What are the Factors of 8988?

Answer: Factors of 8988 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988. There are 24 integers that are factors of 8988. The greatest factor of 8988 is 8988.

4. How to Find the GCF of 8982 and 8988?

Answer:

Greatest Common Factor of 8982 and 8988 = 6

Step 1: Find the prime factorization of 8982

8982 = 2 x 3 x 3 x 499

Step 2: Find the prime factorization of 8988

8988 = 2 x 2 x 3 x 7 x 107

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8982 and 8988 is 6