Greatest Common Factor of 8992 and 8996

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 8992, 8996 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8992 and 8996 is 4.

GCF(8992,8996) = 4

GCF of 8992 and 8996

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

GCF of:
and

Greatest Common Factor of 8992 and 8996

GCF of 8992 and 8996 is 4

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

Prime Factorization of 8996


2 8996
2 4498
13 2249
173 173
1

Prime factors of 8996 are 2,13,173. Prime factorization of 8996 in exponential form is:

8996 = 22×131×1731

∴ So by taking common prime factors GCF of 8992 and 8996 is 4

Greatest Common Factor of 8992 and 8996 by matching factors method

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

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1,2,4,13,26,52,173,346,692,2249,4498,8996

Greatest Common Factor

We found the factors and prime factorization of 8992 and 8996. The biggest common factor number is the GCF number.
So the greatest common factor 8992 and 8996 is 4.

Also check out the Least Common Multiple of 8992 and 8996

Properties of GCF 8992 and 8996

(i) The GCF of 8992 and 8996 is associative

GCF of 8992 and 8996 = GCF of 8996 and 8992

Related Greatest Common Factor of 8992

Related Greatest Common Factor of 8996

Frequently Asked Questions on GCF of 8992 and 8996

1. What is the GCF of 8992 and 8996?

Answer: GCF of 8992 and 8996 is 4.

2. 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.

3. What are the Factors of 8996?

Answer: Factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996. There are 12 integers that are factors of 8996. The greatest factor of 8996 is 8996.

4. How to Find the GCF of 8992 and 8996?

Answer:

Greatest Common Factor of 8992 and 8996 = 4

Step 1: Find the prime factorization of 8992

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

Step 2: Find the prime factorization of 8996

8996 = 2 x 2 x 13 x 173

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 8992 and 8996 is 4