Greatest Common Factor of 1008 and 1016

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 1008, 1016 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1008 and 1016 is 8.

GCF(1008,1016) = 8

GCF of 1008 and 1016

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

GCF of:
and

Greatest Common Factor of 1008 and 1016

GCF of 1008 and 1016 is 8

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

Prime Factorization of 1016


2 1016
2 508
2 254
127 127
1

Prime factors of 1016 are 2,127. Prime factorization of 1016 in exponential form is:

1016 = 23×1271

∴ So by taking common prime factors GCF of 1008 and 1016 is 8

Greatest Common Factor of 1008 and 1016 by matching factors method

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

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1,2,4,8,127,254,508,1016

Greatest Common Factor

We found the factors and prime factorization of 1008 and 1016. The biggest common factor number is the GCF number.
So the greatest common factor 1008 and 1016 is 8.

Also check out the Least Common Multiple of 1008 and 1016

Properties of GCF 1008 and 1016

(i) The GCF of 1008 and 1016 is associative

GCF of 1008 and 1016 = GCF of 1016 and 1008

Related Greatest Common Factor of 1008

Related Greatest Common Factor of 1016

Frequently Asked Questions on GCF of 1008 and 1016

1. What is the GCF of 1008 and 1016?

Answer: GCF of 1008 and 1016 is 8.

2. 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.

3. What are the Factors of 1016?

Answer: Factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016. There are 8 integers that are factors of 1016. The greatest factor of 1016 is 1016.

4. How to Find the GCF of 1008 and 1016?

Answer:

Greatest Common Factor of 1008 and 1016 = 8

Step 1: Find the prime factorization of 1008

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

Step 2: Find the prime factorization of 1016

1016 = 2 x 2 x 2 x 127

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1008 and 1016 is 8