Greatest Common Factor of 4662 and 4669

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 4662, 4669 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4662 and 4669 is 7.

GCF(4662,4669) = 7

GCF of 4662 and 4669

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

GCF of:
and

Greatest Common Factor of 4662 and 4669

GCF of 4662 and 4669 is 7

Prime Factorization of 4662


2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 4662 are 2,3,7,37. Prime factorization of 4662 in exponential form is:

4662 = 21×32×71×371

Prime Factorization of 4669


7 4669
23 667
29 29
1

Prime factors of 4669 are 7,23,29. Prime factorization of 4669 in exponential form is:

4669 = 71×231×291

∴ So by taking common prime factors GCF of 4662 and 4669 is 7

Greatest Common Factor of 4662 and 4669 by matching factors method

Factors of 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662

Factors of 4669

List of positive integer factors of 4669 that divides 4669 without a remainder.

1,7,23,29,161,203,667,4669

Greatest Common Factor

We found the factors and prime factorization of 4662 and 4669. The biggest common factor number is the GCF number.
So the greatest common factor 4662 and 4669 is 7.

Also check out the Least Common Multiple of 4662 and 4669

Properties of GCF 4662 and 4669

(i) The GCF of 4662 and 4669 is associative

GCF of 4662 and 4669 = GCF of 4669 and 4662

Related Greatest Common Factor of 4662

Related Greatest Common Factor of 4669

Frequently Asked Questions on GCF of 4662 and 4669

1. What is the GCF of 4662 and 4669?

Answer: GCF of 4662 and 4669 is 7.

2. What are the Factors of 4662?

Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.

3. What are the Factors of 4669?

Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.

4. How to Find the GCF of 4662 and 4669?

Answer:

Greatest Common Factor of 4662 and 4669 = 7

Step 1: Find the prime factorization of 4662

4662 = 2 x 3 x 3 x 7 x 37

Step 2: Find the prime factorization of 4669

4669 = 7 x 23 x 29

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 4662 and 4669 is 7