Greatest Common Factor of 8990 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 8990, 8992 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8990 and 8992 is 2.

GCF(8990,8992) = 2

GCF of 8990 and 8992

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

GCF of:
and

Greatest Common Factor of 8990 and 8992

GCF of 8990 and 8992 is 2

Prime Factorization of 8990


2 8990
5 4495
29 899
31 31
1

Prime factors of 8990 are 2,5,29,31. Prime factorization of 8990 in exponential form is:

8990 = 21×51×291×311

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 8990 and 8992 is 2

Greatest Common Factor of 8990 and 8992 by matching factors method

Factors of 8990

List of positive integer factors of 8990 that divides 8990 without a remainder.

1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990

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 8990 and 8992. The biggest common factor number is the GCF number.
So the greatest common factor 8990 and 8992 is 2.

Also check out the Least Common Multiple of 8990 and 8992

Properties of GCF 8990 and 8992

(i) The GCF of 8990 and 8992 is associative

GCF of 8990 and 8992 = GCF of 8992 and 8990

Related Greatest Common Factor of 8990

Related Greatest Common Factor of 8992

Frequently Asked Questions on GCF of 8990 and 8992

1. What is the GCF of 8990 and 8992?

Answer: GCF of 8990 and 8992 is 2.

2. What are the Factors of 8990?

Answer: Factors of 8990 are 1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990. There are 16 integers that are factors of 8990. The greatest factor of 8990 is 8990.

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 8990 and 8992?

Answer:

Greatest Common Factor of 8990 and 8992 = 2

Step 1: Find the prime factorization of 8990

8990 = 2 x 5 x 29 x 31

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

Step 4: Therefore, the greatest common factor of 8990 and 8992 is 2