Greatest Common Factor of 4494 and 4501

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 4494, 4501 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4494 and 4501 is 7.

GCF(4494,4501) = 7

GCF of 4494 and 4501

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

GCF of:
and

Greatest Common Factor of 4494 and 4501

GCF of 4494 and 4501 is 7

Prime Factorization of 4494


2 4494
3 2247
7 749
107 107
1

Prime factors of 4494 are 2,3,7,107. Prime factorization of 4494 in exponential form is:

4494 = 21×31×71×1071

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

∴ So by taking common prime factors GCF of 4494 and 4501 is 7

Greatest Common Factor of 4494 and 4501 by matching factors method

Factors of 4494

List of positive integer factors of 4494 that divides 4494 without a remainder.

1,2,3,6,7,14,21,42,107,214,321,642,749,1498,2247,4494

Factors of 4501

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

1,7,643,4501

Greatest Common Factor

We found the factors and prime factorization of 4494 and 4501. The biggest common factor number is the GCF number.
So the greatest common factor 4494 and 4501 is 7.

Also check out the Least Common Multiple of 4494 and 4501

Properties of GCF 4494 and 4501

(i) The GCF of 4494 and 4501 is associative

GCF of 4494 and 4501 = GCF of 4501 and 4494

Related Greatest Common Factor of 4494

Related Greatest Common Factor of 4501

Frequently Asked Questions on GCF of 4494 and 4501

1. What is the GCF of 4494 and 4501?

Answer: GCF of 4494 and 4501 is 7.

2. What are the Factors of 4494?

Answer: Factors of 4494 are 1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494. There are 16 integers that are factors of 4494. The greatest factor of 4494 is 4494.

3. 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.

4. How to Find the GCF of 4494 and 4501?

Answer:

Greatest Common Factor of 4494 and 4501 = 7

Step 1: Find the prime factorization of 4494

4494 = 2 x 3 x 7 x 107

Step 2: Find the prime factorization of 4501

4501 = 7 x 643

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 4494 and 4501 is 7