Greatest Common Factor of 8498 and 8505

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 8498, 8505 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8498 and 8505 is 7.

GCF(8498,8505) = 7

GCF of 8498 and 8505

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

GCF of:
and

Greatest Common Factor of 8498 and 8505

GCF of 8498 and 8505 is 7

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

Prime Factorization of 8505


3 8505
3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 8505 are 3,5,7. Prime factorization of 8505 in exponential form is:

8505 = 35×51×71

∴ So by taking common prime factors GCF of 8498 and 8505 is 7

Greatest Common Factor of 8498 and 8505 by matching factors method

Factors of 8498

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

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

Factors of 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505

Greatest Common Factor

We found the factors and prime factorization of 8498 and 8505. The biggest common factor number is the GCF number.
So the greatest common factor 8498 and 8505 is 7.

Also check out the Least Common Multiple of 8498 and 8505

Properties of GCF 8498 and 8505

(i) The GCF of 8498 and 8505 is associative

GCF of 8498 and 8505 = GCF of 8505 and 8498

Related Greatest Common Factor of 8498

Related Greatest Common Factor of 8505

Frequently Asked Questions on GCF of 8498 and 8505

1. What is the GCF of 8498 and 8505?

Answer: GCF of 8498 and 8505 is 7.

2. 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.

3. What are the Factors of 8505?

Answer: Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505. There are 24 integers that are factors of 8505. The greatest factor of 8505 is 8505.

4. How to Find the GCF of 8498 and 8505?

Answer:

Greatest Common Factor of 8498 and 8505 = 7

Step 1: Find the prime factorization of 8498

8498 = 2 x 7 x 607

Step 2: Find the prime factorization of 8505

8505 = 3 x 3 x 3 x 3 x 3 x 5 x 7

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 8498 and 8505 is 7