Greatest Common Factor of 8984 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 8984, 8988 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8984 and 8988 is 4.

GCF(8984,8988) = 4

GCF of 8984 and 8988

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

GCF of:
and

Greatest Common Factor of 8984 and 8988

GCF of 8984 and 8988 is 4

Prime Factorization of 8984


2 8984
2 4492
2 2246
1123 1123
1

Prime factors of 8984 are 2,1123. Prime factorization of 8984 in exponential form is:

8984 = 23×11231

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 8984 and 8988 is 4

Greatest Common Factor of 8984 and 8988 by matching factors method

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

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 8984 and 8988. The biggest common factor number is the GCF number.
So the greatest common factor 8984 and 8988 is 4.

Also check out the Least Common Multiple of 8984 and 8988

Properties of GCF 8984 and 8988

(i) The GCF of 8984 and 8988 is associative

GCF of 8984 and 8988 = GCF of 8988 and 8984

Related Greatest Common Factor of 8984

Related Greatest Common Factor of 8988

Frequently Asked Questions on GCF of 8984 and 8988

1. What is the GCF of 8984 and 8988?

Answer: GCF of 8984 and 8988 is 4.

2. What are the Factors of 8984?

Answer: Factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984. There are 8 integers that are factors of 8984. The greatest factor of 8984 is 8984.

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 8984 and 8988?

Answer:

Greatest Common Factor of 8984 and 8988 = 4

Step 1: Find the prime factorization of 8984

8984 = 2 x 2 x 2 x 1123

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 2 = 4

Step 4: Therefore, the greatest common factor of 8984 and 8988 is 4