Greatest Common Factor of 3008 and 3014

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 3008, 3014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3008 and 3014 is 2.

GCF(3008,3014) = 2

GCF of 3008 and 3014

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

GCF of:
and

Greatest Common Factor of 3008 and 3014

GCF of 3008 and 3014 is 2

Prime Factorization of 3008


2 3008
2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 3008 are 2,47. Prime factorization of 3008 in exponential form is:

3008 = 26×471

Prime Factorization of 3014


2 3014
11 1507
137 137
1

Prime factors of 3014 are 2,11,137. Prime factorization of 3014 in exponential form is:

3014 = 21×111×1371

∴ So by taking common prime factors GCF of 3008 and 3014 is 2

Greatest Common Factor of 3008 and 3014 by matching factors method

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1,2,4,8,16,32,47,64,94,188,376,752,1504,3008

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Greatest Common Factor

We found the factors and prime factorization of 3008 and 3014. The biggest common factor number is the GCF number.
So the greatest common factor 3008 and 3014 is 2.

Also check out the Least Common Multiple of 3008 and 3014

Properties of GCF 3008 and 3014

(i) The GCF of 3008 and 3014 is associative

GCF of 3008 and 3014 = GCF of 3014 and 3008

Related Greatest Common Factor of 3008

Related Greatest Common Factor of 3014

Frequently Asked Questions on GCF of 3008 and 3014

1. What is the GCF of 3008 and 3014?

Answer: GCF of 3008 and 3014 is 2.

2. What are the Factors of 3008?

Answer: Factors of 3008 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008. There are 14 integers that are factors of 3008. The greatest factor of 3008 is 3008.

3. What are the Factors of 3014?

Answer: Factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014. There are 8 integers that are factors of 3014. The greatest factor of 3014 is 3014.

4. How to Find the GCF of 3008 and 3014?

Answer:

Greatest Common Factor of 3008 and 3014 = 2

Step 1: Find the prime factorization of 3008

3008 = 2 x 2 x 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 3014

3014 = 2 x 11 x 137

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 3008 and 3014 is 2