Greatest Common Factor of 8502 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 8502, 8505 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8502 and 8505 is 3.

GCF(8502,8505) = 3

GCF of 8502 and 8505

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

GCF of:
and

Greatest Common Factor of 8502 and 8505

GCF of 8502 and 8505 is 3

Prime Factorization of 8502


2 8502
3 4251
13 1417
109 109
1

Prime factors of 8502 are 2,3,13,109. Prime factorization of 8502 in exponential form is:

8502 = 21×31×131×1091

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 8502 and 8505 is 3

Greatest Common Factor of 8502 and 8505 by matching factors method

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

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 8502 and 8505. The biggest common factor number is the GCF number.
So the greatest common factor 8502 and 8505 is 3.

Also check out the Least Common Multiple of 8502 and 8505

Properties of GCF 8502 and 8505

(i) The GCF of 8502 and 8505 is associative

GCF of 8502 and 8505 = GCF of 8505 and 8502

Related Greatest Common Factor of 8502

Related Greatest Common Factor of 8505

Frequently Asked Questions on GCF of 8502 and 8505

1. What is the GCF of 8502 and 8505?

Answer: GCF of 8502 and 8505 is 3.

2. What are the Factors of 8502?

Answer: Factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502. There are 16 integers that are factors of 8502. The greatest factor of 8502 is 8502.

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 8502 and 8505?

Answer:

Greatest Common Factor of 8502 and 8505 = 3

Step 1: Find the prime factorization of 8502

8502 = 2 x 3 x 13 x 109

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 = 3

Step 4: Therefore, the greatest common factor of 8502 and 8505 is 3