Greatest Common Factor of 1001 and 1008

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 1001, 1008 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1001 and 1008 is 7.

GCF(1001,1008) = 7

GCF of 1001 and 1008

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

GCF of:
and

Greatest Common Factor of 1001 and 1008

GCF of 1001 and 1008 is 7

Prime Factorization of 1001


7 1001
11 143
13 13
1

Prime factors of 1001 are 7,11,13. Prime factorization of 1001 in exponential form is:

1001 = 71×111×131

Prime Factorization of 1008


2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 1008 are 2,3,7. Prime factorization of 1008 in exponential form is:

1008 = 24×32×71

∴ So by taking common prime factors GCF of 1001 and 1008 is 7

Greatest Common Factor of 1001 and 1008 by matching factors method

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1,7,11,13,77,91,143,1001

Factors of 1008

List of positive integer factors of 1008 that divides 1008 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Greatest Common Factor

We found the factors and prime factorization of 1001 and 1008. The biggest common factor number is the GCF number.
So the greatest common factor 1001 and 1008 is 7.

Also check out the Least Common Multiple of 1001 and 1008

Properties of GCF 1001 and 1008

(i) The GCF of 1001 and 1008 is associative

GCF of 1001 and 1008 = GCF of 1008 and 1001

Related Greatest Common Factor of 1001

Related Greatest Common Factor of 1008

Frequently Asked Questions on GCF of 1001 and 1008

1. What is the GCF of 1001 and 1008?

Answer: GCF of 1001 and 1008 is 7.

2. What are the Factors of 1001?

Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.

3. What are the Factors of 1008?

Answer: Factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008. There are 30 integers that are factors of 1008. The greatest factor of 1008 is 1008.

4. How to Find the GCF of 1001 and 1008?

Answer:

Greatest Common Factor of 1001 and 1008 = 7

Step 1: Find the prime factorization of 1001

1001 = 7 x 11 x 13

Step 2: Find the prime factorization of 1008

1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7

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 1001 and 1008 is 7