Greatest Common Factor of 4487 and 4494

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 4487, 4494 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4487 and 4494 is 7.

GCF(4487,4494) = 7

GCF of 4487 and 4494

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

GCF of:
and

Greatest Common Factor of 4487 and 4494

GCF of 4487 and 4494 is 7

Prime Factorization of 4487


7 4487
641 641
1

Prime factors of 4487 are 7,641. Prime factorization of 4487 in exponential form is:

4487 = 71×6411

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

∴ So by taking common prime factors GCF of 4487 and 4494 is 7

Greatest Common Factor of 4487 and 4494 by matching factors method

Factors of 4487

List of positive integer factors of 4487 that divides 4487 without a remainder.

1,7,641,4487

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

Greatest Common Factor

We found the factors and prime factorization of 4487 and 4494. The biggest common factor number is the GCF number.
So the greatest common factor 4487 and 4494 is 7.

Also check out the Least Common Multiple of 4487 and 4494

Properties of GCF 4487 and 4494

(i) The GCF of 4487 and 4494 is associative

GCF of 4487 and 4494 = GCF of 4494 and 4487

Related Greatest Common Factor of 4487

Related Greatest Common Factor of 4494

Frequently Asked Questions on GCF of 4487 and 4494

1. What is the GCF of 4487 and 4494?

Answer: GCF of 4487 and 4494 is 7.

2. What are the Factors of 4487?

Answer: Factors of 4487 are 1, 7, 641, 4487. There are 4 integers that are factors of 4487. The greatest factor of 4487 is 4487.

3. 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.

4. How to Find the GCF of 4487 and 4494?

Answer:

Greatest Common Factor of 4487 and 4494 = 7

Step 1: Find the prime factorization of 4487

4487 = 7 x 641

Step 2: Find the prime factorization of 4494

4494 = 2 x 3 x 7 x 107

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 4487 and 4494 is 7