Greatest Common Factor of 8988 and 8992

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 8988, 8992 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8988 and 8992 is 4.

GCF(8988,8992) = 4

GCF of 8988 and 8992

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

GCF of:
and

Greatest Common Factor of 8988 and 8992

GCF of 8988 and 8992 is 4

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

Prime Factorization of 8992


2 8992
2 4496
2 2248
2 1124
2 562
281 281
1

Prime factors of 8992 are 2,281. Prime factorization of 8992 in exponential form is:

8992 = 25×2811

∴ So by taking common prime factors GCF of 8988 and 8992 is 4

Greatest Common Factor of 8988 and 8992 by matching factors method

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

Factors of 8992

List of positive integer factors of 8992 that divides 8992 without a remainder.

1,2,4,8,16,32,281,562,1124,2248,4496,8992

Greatest Common Factor

We found the factors and prime factorization of 8988 and 8992. The biggest common factor number is the GCF number.
So the greatest common factor 8988 and 8992 is 4.

Also check out the Least Common Multiple of 8988 and 8992

Properties of GCF 8988 and 8992

(i) The GCF of 8988 and 8992 is associative

GCF of 8988 and 8992 = GCF of 8992 and 8988

Related Greatest Common Factor of 8988

Related Greatest Common Factor of 8992

Frequently Asked Questions on GCF of 8988 and 8992

1. What is the GCF of 8988 and 8992?

Answer: GCF of 8988 and 8992 is 4.

2. 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.

3. What are the Factors of 8992?

Answer: Factors of 8992 are 1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992. There are 12 integers that are factors of 8992. The greatest factor of 8992 is 8992.

4. How to Find the GCF of 8988 and 8992?

Answer:

Greatest Common Factor of 8988 and 8992 = 4

Step 1: Find the prime factorization of 8988

8988 = 2 x 2 x 3 x 7 x 107

Step 2: Find the prime factorization of 8992

8992 = 2 x 2 x 2 x 2 x 2 x 281

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 8988 and 8992 is 4