Greatest Common Factor of 66990 and 66996

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 66990, 66996 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66990 and 66996 is 6.

GCF(66990,66996) = 6

GCF of 66990 and 66996

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

GCF of:
and

Greatest Common Factor of 66990 and 66996

GCF of 66990 and 66996 is 6

Prime Factorization of 66990


2 66990
3 33495
5 11165
7 2233
11 319
29 29
1

Prime factors of 66990 are 2,3,5,7,11,29. Prime factorization of 66990 in exponential form is:

66990 = 21×31×51×71×111×291

Prime Factorization of 66996


2 66996
2 33498
3 16749
3 5583
1861 1861
1

Prime factors of 66996 are 2,3,1861. Prime factorization of 66996 in exponential form is:

66996 = 22×32×18611

∴ So by taking common prime factors GCF of 66990 and 66996 is 6

Greatest Common Factor of 66990 and 66996 by matching factors method

Factors of 66990

List of positive integer factors of 66990 that divides 66990 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,29,30,33,35,42,55,58,66,70,77,87,105,110,145,154,165,174,203,210,231,290,319,330,385,406,435,462,609,638,770,870,957,1015,1155,1218,1595,1914,2030,2233,2310,3045,3190,4466,4785,6090,6699,9570,11165,13398,22330,33495,66990

Factors of 66996

List of positive integer factors of 66996 that divides 66996 without a remainder.

1,2,3,4,6,9,12,18,36,1861,3722,5583,7444,11166,16749,22332,33498,66996

Greatest Common Factor

We found the factors and prime factorization of 66990 and 66996. The biggest common factor number is the GCF number.
So the greatest common factor 66990 and 66996 is 6.

Also check out the Least Common Multiple of 66990 and 66996

Properties of GCF 66990 and 66996

(i) The GCF of 66990 and 66996 is associative

GCF of 66990 and 66996 = GCF of 66996 and 66990

Related Greatest Common Factor of 66990

Related Greatest Common Factor of 66996

Frequently Asked Questions on GCF of 66990 and 66996

1. What is the GCF of 66990 and 66996?

Answer: GCF of 66990 and 66996 is 6.

2. What are the Factors of 66990?

Answer: Factors of 66990 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 29, 30, 33, 35, 42, 55, 58, 66, 70, 77, 87, 105, 110, 145, 154, 165, 174, 203, 210, 231, 290, 319, 330, 385, 406, 435, 462, 609, 638, 770, 870, 957, 1015, 1155, 1218, 1595, 1914, 2030, 2233, 2310, 3045, 3190, 4466, 4785, 6090, 6699, 9570, 11165, 13398, 22330, 33495, 66990. There are 64 integers that are factors of 66990. The greatest factor of 66990 is 66990.

3. What are the Factors of 66996?

Answer: Factors of 66996 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 1861, 3722, 5583, 7444, 11166, 16749, 22332, 33498, 66996. There are 18 integers that are factors of 66996. The greatest factor of 66996 is 66996.

4. How to Find the GCF of 66990 and 66996?

Answer:

Greatest Common Factor of 66990 and 66996 = 6

Step 1: Find the prime factorization of 66990

66990 = 2 x 3 x 5 x 7 x 11 x 29

Step 2: Find the prime factorization of 66996

66996 = 2 x 2 x 3 x 3 x 1861

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 66990 and 66996 is 6