Greatest Common Factor of 8992 and 8999

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, 8999 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8992 and 8999 is 1.

GCF(8992,8999) = 1

GCF of 8992 and 8999

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

GCF of:
and

Greatest Common Factor of 8992 and 8999

GCF of 8992 and 8999 is 1

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 8999


8999 8999
1

Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:

8999 = 89991

∴ So by taking common prime factors GCF of 8992 and 8999 is 1

Greatest Common Factor of 8992 and 8999 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 8999

List of positive integer factors of 8999 that divides 8999 without a remainder.

1,8999

Greatest Common Factor

We found the factors and prime factorization of 8992 and 8999. The biggest common factor number is the GCF number.
So the greatest common factor 8992 and 8999 is 1.

Also check out the Least Common Multiple of 8992 and 8999

Properties of GCF 8992 and 8999

(i) The GCF of 8992 and 8999 is associative

GCF of 8992 and 8999 = GCF of 8999 and 8992

Related Greatest Common Factor of 8992

Related Greatest Common Factor of 8999

Frequently Asked Questions on GCF of 8992 and 8999

1. What is the GCF of 8992 and 8999?

Answer: GCF of 8992 and 8999 is 1.

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 8999?

Answer: Factors of 8999 are 1, 8999. There are 2 integers that are factors of 8999. The greatest factor of 8999 is 8999.

4. How to Find the GCF of 8992 and 8999?

Answer:

Greatest Common Factor of 8992 and 8999 = 1

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 8999

8999 = 8999

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8992 and 8999 is 1