Greatest Common Factor of 8507 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 8507, 8508 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8507 and 8508 is 1.

GCF(8507,8508) = 1

GCF of 8507 and 8508

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

GCF of:
and

Greatest Common Factor of 8507 and 8508

GCF of 8507 and 8508 is 1

Prime Factorization of 8507


47 8507
181 181
1

Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:

8507 = 471×1811

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 8507 and 8508 is 1

Greatest Common Factor of 8507 and 8508 by matching factors method

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1,47,181,8507

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 8507 and 8508. The biggest common factor number is the GCF number.
So the greatest common factor 8507 and 8508 is 1.

Also check out the Least Common Multiple of 8507 and 8508

Properties of GCF 8507 and 8508

(i) The GCF of 8507 and 8508 is associative

GCF of 8507 and 8508 = GCF of 8508 and 8507

Related Greatest Common Factor of 8507

Related Greatest Common Factor of 8508

Frequently Asked Questions on GCF of 8507 and 8508

1. What is the GCF of 8507 and 8508?

Answer: GCF of 8507 and 8508 is 1.

2. What are the Factors of 8507?

Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.

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 8507 and 8508?

Answer:

Greatest Common Factor of 8507 and 8508 = 1

Step 1: Find the prime factorization of 8507

8507 = 47 x 181

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 = = 1

Step 4: Therefore, the greatest common factor of 8507 and 8508 is 1