Greatest Common Factor of 66990 and 66998

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, 66998 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66990 and 66998 is 2.

GCF(66990,66998) = 2

GCF of 66990 and 66998

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

GCF of:
and

Greatest Common Factor of 66990 and 66998

GCF of 66990 and 66998 is 2

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 66998


2 66998
139 33499
241 241
1

Prime factors of 66998 are 2,139,241. Prime factorization of 66998 in exponential form is:

66998 = 21×1391×2411

∴ So by taking common prime factors GCF of 66990 and 66998 is 2

Greatest Common Factor of 66990 and 66998 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 66998

List of positive integer factors of 66998 that divides 66998 without a remainder.

1,2,139,241,278,482,33499,66998

Greatest Common Factor

We found the factors and prime factorization of 66990 and 66998. The biggest common factor number is the GCF number.
So the greatest common factor 66990 and 66998 is 2.

Also check out the Least Common Multiple of 66990 and 66998

Properties of GCF 66990 and 66998

(i) The GCF of 66990 and 66998 is associative

GCF of 66990 and 66998 = GCF of 66998 and 66990

Related Greatest Common Factor of 66990

Related Greatest Common Factor of 66998

Frequently Asked Questions on GCF of 66990 and 66998

1. What is the GCF of 66990 and 66998?

Answer: GCF of 66990 and 66998 is 2.

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 66998?

Answer: Factors of 66998 are 1, 2, 139, 241, 278, 482, 33499, 66998. There are 8 integers that are factors of 66998. The greatest factor of 66998 is 66998.

4. How to Find the GCF of 66990 and 66998?

Answer:

Greatest Common Factor of 66990 and 66998 = 2

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 66998

66998 = 2 x 139 x 241

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

GCF = 2

Step 4: Therefore, the greatest common factor of 66990 and 66998 is 2