Greatest Common Factor of 8504 and 8508

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 8504, 8508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8504 and 8508 is 4.

GCF(8504,8508) = 4

GCF of 8504 and 8508

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

GCF of:
and

Greatest Common Factor of 8504 and 8508

GCF of 8504 and 8508 is 4

Prime Factorization of 8504


2 8504
2 4252
2 2126
1063 1063
1

Prime factors of 8504 are 2,1063. Prime factorization of 8504 in exponential form is:

8504 = 23×10631

Prime Factorization of 8508


2 8508
2 4254
3 2127
709 709
1

Prime factors of 8508 are 2,3,709. Prime factorization of 8508 in exponential form is:

8508 = 22×31×7091

∴ So by taking common prime factors GCF of 8504 and 8508 is 4

Greatest Common Factor of 8504 and 8508 by matching factors method

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1,2,3,4,6,12,709,1418,2127,2836,4254,8508

Greatest Common Factor

We found the factors and prime factorization of 8504 and 8508. The biggest common factor number is the GCF number.
So the greatest common factor 8504 and 8508 is 4.

Also check out the Least Common Multiple of 8504 and 8508

Properties of GCF 8504 and 8508

(i) The GCF of 8504 and 8508 is associative

GCF of 8504 and 8508 = GCF of 8508 and 8504

Related Greatest Common Factor of 8504

Related Greatest Common Factor of 8508

Frequently Asked Questions on GCF of 8504 and 8508

1. What is the GCF of 8504 and 8508?

Answer: GCF of 8504 and 8508 is 4.

2. What are the Factors of 8504?

Answer: Factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504. There are 8 integers that are factors of 8504. The greatest factor of 8504 is 8504.

3. What are the Factors of 8508?

Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.

4. How to Find the GCF of 8504 and 8508?

Answer:

Greatest Common Factor of 8504 and 8508 = 4

Step 1: Find the prime factorization of 8504

8504 = 2 x 2 x 2 x 1063

Step 2: Find the prime factorization of 8508

8508 = 2 x 2 x 3 x 709

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8504 and 8508 is 4