Greatest Common Factor of 4504 and 4510

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 4504, 4510 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4504 and 4510 is 2.

GCF(4504,4510) = 2

GCF of 4504 and 4510

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

GCF of:
and

Greatest Common Factor of 4504 and 4510

GCF of 4504 and 4510 is 2

Prime Factorization of 4504


2 4504
2 2252
2 1126
563 563
1

Prime factors of 4504 are 2,563. Prime factorization of 4504 in exponential form is:

4504 = 23×5631

Prime Factorization of 4510


2 4510
5 2255
11 451
41 41
1

Prime factors of 4510 are 2,5,11,41. Prime factorization of 4510 in exponential form is:

4510 = 21×51×111×411

∴ So by taking common prime factors GCF of 4504 and 4510 is 2

Greatest Common Factor of 4504 and 4510 by matching factors method

Factors of 4504

List of positive integer factors of 4504 that divides 4504 without a remainder.

1,2,4,8,563,1126,2252,4504

Factors of 4510

List of positive integer factors of 4510 that divides 4510 without a remainder.

1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510

Greatest Common Factor

We found the factors and prime factorization of 4504 and 4510. The biggest common factor number is the GCF number.
So the greatest common factor 4504 and 4510 is 2.

Also check out the Least Common Multiple of 4504 and 4510

Properties of GCF 4504 and 4510

(i) The GCF of 4504 and 4510 is associative

GCF of 4504 and 4510 = GCF of 4510 and 4504

Related Greatest Common Factor of 4504

Related Greatest Common Factor of 4510

Frequently Asked Questions on GCF of 4504 and 4510

1. What is the GCF of 4504 and 4510?

Answer: GCF of 4504 and 4510 is 2.

2. What are the Factors of 4504?

Answer: Factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504. There are 8 integers that are factors of 4504. The greatest factor of 4504 is 4504.

3. What are the Factors of 4510?

Answer: Factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510. There are 16 integers that are factors of 4510. The greatest factor of 4510 is 4510.

4. How to Find the GCF of 4504 and 4510?

Answer:

Greatest Common Factor of 4504 and 4510 = 2

Step 1: Find the prime factorization of 4504

4504 = 2 x 2 x 2 x 563

Step 2: Find the prime factorization of 4510

4510 = 2 x 5 x 11 x 41

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4504 and 4510 is 2