Greatest Common Factor of 8491 and 8498

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 8491, 8498 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8491 and 8498 is 7.

GCF(8491,8498) = 7

GCF of 8491 and 8498

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

GCF of:
and

Greatest Common Factor of 8491 and 8498

GCF of 8491 and 8498 is 7

Prime Factorization of 8491


7 8491
1213 1213
1

Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:

8491 = 71×12131

Prime Factorization of 8498


2 8498
7 4249
607 607
1

Prime factors of 8498 are 2,7,607. Prime factorization of 8498 in exponential form is:

8498 = 21×71×6071

∴ So by taking common prime factors GCF of 8491 and 8498 is 7

Greatest Common Factor of 8491 and 8498 by matching factors method

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1,7,1213,8491

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1,2,7,14,607,1214,4249,8498

Greatest Common Factor

We found the factors and prime factorization of 8491 and 8498. The biggest common factor number is the GCF number.
So the greatest common factor 8491 and 8498 is 7.

Also check out the Least Common Multiple of 8491 and 8498

Properties of GCF 8491 and 8498

(i) The GCF of 8491 and 8498 is associative

GCF of 8491 and 8498 = GCF of 8498 and 8491

Related Greatest Common Factor of 8491

Related Greatest Common Factor of 8498

Frequently Asked Questions on GCF of 8491 and 8498

1. What is the GCF of 8491 and 8498?

Answer: GCF of 8491 and 8498 is 7.

2. What are the Factors of 8491?

Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.

3. What are the Factors of 8498?

Answer: Factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498. There are 8 integers that are factors of 8498. The greatest factor of 8498 is 8498.

4. How to Find the GCF of 8491 and 8498?

Answer:

Greatest Common Factor of 8491 and 8498 = 7

Step 1: Find the prime factorization of 8491

8491 = 7 x 1213

Step 2: Find the prime factorization of 8498

8498 = 2 x 7 x 607

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8491 and 8498 is 7