Greatest Common Factor of 4501 and 4508

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 4501, 4508 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4501 and 4508 is 7.

GCF(4501,4508) = 7

GCF of 4501 and 4508

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

GCF of:
and

Greatest Common Factor of 4501 and 4508

GCF of 4501 and 4508 is 7

Prime Factorization of 4501


7 4501
643 643
1

Prime factors of 4501 are 7,643. Prime factorization of 4501 in exponential form is:

4501 = 71×6431

Prime Factorization of 4508


2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 4508 are 2,7,23. Prime factorization of 4508 in exponential form is:

4508 = 22×72×231

∴ So by taking common prime factors GCF of 4501 and 4508 is 7

Greatest Common Factor of 4501 and 4508 by matching factors method

Factors of 4501

List of positive integer factors of 4501 that divides 4501 without a remainder.

1,7,643,4501

Factors of 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Greatest Common Factor

We found the factors and prime factorization of 4501 and 4508. The biggest common factor number is the GCF number.
So the greatest common factor 4501 and 4508 is 7.

Also check out the Least Common Multiple of 4501 and 4508

Properties of GCF 4501 and 4508

(i) The GCF of 4501 and 4508 is associative

GCF of 4501 and 4508 = GCF of 4508 and 4501

Related Greatest Common Factor of 4501

Related Greatest Common Factor of 4508

Frequently Asked Questions on GCF of 4501 and 4508

1. What is the GCF of 4501 and 4508?

Answer: GCF of 4501 and 4508 is 7.

2. What are the Factors of 4501?

Answer: Factors of 4501 are 1, 7, 643, 4501. There are 4 integers that are factors of 4501. The greatest factor of 4501 is 4501.

3. What are the Factors of 4508?

Answer: Factors of 4508 are 1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 644, 1127, 2254, 4508. There are 18 integers that are factors of 4508. The greatest factor of 4508 is 4508.

4. How to Find the GCF of 4501 and 4508?

Answer:

Greatest Common Factor of 4501 and 4508 = 7

Step 1: Find the prime factorization of 4501

4501 = 7 x 643

Step 2: Find the prime factorization of 4508

4508 = 2 x 2 x 7 x 7 x 23

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 4501 and 4508 is 7