Greatest Common Factor of 8992 and 8998

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, 8998 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8992 and 8998 is 2.

GCF(8992,8998) = 2

GCF of 8992 and 8998

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

GCF of:
and

Greatest Common Factor of 8992 and 8998

GCF of 8992 and 8998 is 2

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 8998


2 8998
11 4499
409 409
1

Prime factors of 8998 are 2,11,409. Prime factorization of 8998 in exponential form is:

8998 = 21×111×4091

∴ So by taking common prime factors GCF of 8992 and 8998 is 2

Greatest Common Factor of 8992 and 8998 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 8998

List of positive integer factors of 8998 that divides 8998 without a remainder.

1,2,11,22,409,818,4499,8998

Greatest Common Factor

We found the factors and prime factorization of 8992 and 8998. The biggest common factor number is the GCF number.
So the greatest common factor 8992 and 8998 is 2.

Also check out the Least Common Multiple of 8992 and 8998

Properties of GCF 8992 and 8998

(i) The GCF of 8992 and 8998 is associative

GCF of 8992 and 8998 = GCF of 8998 and 8992

Related Greatest Common Factor of 8992

Related Greatest Common Factor of 8998

Frequently Asked Questions on GCF of 8992 and 8998

1. What is the GCF of 8992 and 8998?

Answer: GCF of 8992 and 8998 is 2.

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 8998?

Answer: Factors of 8998 are 1, 2, 11, 22, 409, 818, 4499, 8998. There are 8 integers that are factors of 8998. The greatest factor of 8998 is 8998.

4. How to Find the GCF of 8992 and 8998?

Answer:

Greatest Common Factor of 8992 and 8998 = 2

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 8998

8998 = 2 x 11 x 409

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 8992 and 8998 is 2