Greatest Common Factor of 8985 and 8993

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 8985, 8993 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8985 and 8993 is 1.

GCF(8985,8993) = 1

GCF of 8985 and 8993

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

GCF of:
and

Greatest Common Factor of 8985 and 8993

GCF of 8985 and 8993 is 1

Prime Factorization of 8985


3 8985
5 2995
599 599
1

Prime factors of 8985 are 3,5,599. Prime factorization of 8985 in exponential form is:

8985 = 31×51×5991

Prime Factorization of 8993


17 8993
23 529
23 23
1

Prime factors of 8993 are 17,23. Prime factorization of 8993 in exponential form is:

8993 = 171×232

∴ So by taking common prime factors GCF of 8985 and 8993 is 1

Greatest Common Factor of 8985 and 8993 by matching factors method

Factors of 8985

List of positive integer factors of 8985 that divides 8985 without a remainder.

1,3,5,15,599,1797,2995,8985

Factors of 8993

List of positive integer factors of 8993 that divides 8993 without a remainder.

1,17,23,391,529,8993

Greatest Common Factor

We found the factors and prime factorization of 8985 and 8993. The biggest common factor number is the GCF number.
So the greatest common factor 8985 and 8993 is 1.

Also check out the Least Common Multiple of 8985 and 8993

Properties of GCF 8985 and 8993

(i) The GCF of 8985 and 8993 is associative

GCF of 8985 and 8993 = GCF of 8993 and 8985

Related Greatest Common Factor of 8985

Related Greatest Common Factor of 8993

Frequently Asked Questions on GCF of 8985 and 8993

1. What is the GCF of 8985 and 8993?

Answer: GCF of 8985 and 8993 is 1.

2. What are the Factors of 8985?

Answer: Factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985. There are 8 integers that are factors of 8985. The greatest factor of 8985 is 8985.

3. What are the Factors of 8993?

Answer: Factors of 8993 are 1, 17, 23, 391, 529, 8993. There are 6 integers that are factors of 8993. The greatest factor of 8993 is 8993.

4. How to Find the GCF of 8985 and 8993?

Answer:

Greatest Common Factor of 8985 and 8993 = 1

Step 1: Find the prime factorization of 8985

8985 = 3 x 5 x 599

Step 2: Find the prime factorization of 8993

8993 = 17 x 23 x 23

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 8985 and 8993 is 1