Greatest Common Factor of 66983 and 66990

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 66983, 66990 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66983 and 66990 is 7.

GCF(66983,66990) = 7

GCF of 66983 and 66990

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

GCF of:
and

Greatest Common Factor of 66983 and 66990

GCF of 66983 and 66990 is 7

Prime Factorization of 66983


7 66983
7 9569
1367 1367
1

Prime factors of 66983 are 7,1367. Prime factorization of 66983 in exponential form is:

66983 = 72×13671

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

∴ So by taking common prime factors GCF of 66983 and 66990 is 7

Greatest Common Factor of 66983 and 66990 by matching factors method

Factors of 66983

List of positive integer factors of 66983 that divides 66983 without a remainder.

1,7,49,1367,9569,66983

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

Greatest Common Factor

We found the factors and prime factorization of 66983 and 66990. The biggest common factor number is the GCF number.
So the greatest common factor 66983 and 66990 is 7.

Also check out the Least Common Multiple of 66983 and 66990

Properties of GCF 66983 and 66990

(i) The GCF of 66983 and 66990 is associative

GCF of 66983 and 66990 = GCF of 66990 and 66983

Related Greatest Common Factor of 66983

Related Greatest Common Factor of 66990

Frequently Asked Questions on GCF of 66983 and 66990

1. What is the GCF of 66983 and 66990?

Answer: GCF of 66983 and 66990 is 7.

2. What are the Factors of 66983?

Answer: Factors of 66983 are 1, 7, 49, 1367, 9569, 66983. There are 6 integers that are factors of 66983. The greatest factor of 66983 is 66983.

3. 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.

4. How to Find the GCF of 66983 and 66990?

Answer:

Greatest Common Factor of 66983 and 66990 = 7

Step 1: Find the prime factorization of 66983

66983 = 7 x 7 x 1367

Step 2: Find the prime factorization of 66990

66990 = 2 x 3 x 5 x 7 x 11 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 66983 and 66990 is 7