Greatest Common Factor of 8992 and 8997

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, 8997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8992 and 8997 is 1.

GCF(8992,8997) = 1

GCF of 8992 and 8997

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

GCF of:
and

Greatest Common Factor of 8992 and 8997

GCF of 8992 and 8997 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 8997


3 8997
2999 2999
1

Prime factors of 8997 are 3,2999. Prime factorization of 8997 in exponential form is:

8997 = 31×29991

∴ So by taking common prime factors GCF of 8992 and 8997 is 1

Greatest Common Factor of 8992 and 8997 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 8997

List of positive integer factors of 8997 that divides 8997 without a remainder.

1,3,2999,8997

Greatest Common Factor

We found the factors and prime factorization of 8992 and 8997. The biggest common factor number is the GCF number.
So the greatest common factor 8992 and 8997 is 1.

Also check out the Least Common Multiple of 8992 and 8997

Properties of GCF 8992 and 8997

(i) The GCF of 8992 and 8997 is associative

GCF of 8992 and 8997 = GCF of 8997 and 8992

Related Greatest Common Factor of 8992

Related Greatest Common Factor of 8997

Frequently Asked Questions on GCF of 8992 and 8997

1. What is the GCF of 8992 and 8997?

Answer: GCF of 8992 and 8997 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 8997?

Answer: Factors of 8997 are 1, 3, 2999, 8997. There are 4 integers that are factors of 8997. The greatest factor of 8997 is 8997.

4. How to Find the GCF of 8992 and 8997?

Answer:

Greatest Common Factor of 8992 and 8997 = 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 8997

8997 = 3 x 2999

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 8997 is 1