Greatest Common Factor of 3008 and 3013

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, 3013 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3008 and 3013 is 1.

GCF(3008,3013) = 1

GCF of 3008 and 3013

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

GCF of:
and

Greatest Common Factor of 3008 and 3013

GCF of 3008 and 3013 is 1

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 3013


23 3013
131 131
1

Prime factors of 3013 are 23,131. Prime factorization of 3013 in exponential form is:

3013 = 231×1311

∴ So by taking common prime factors GCF of 3008 and 3013 is 1

Greatest Common Factor of 3008 and 3013 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 3013

List of positive integer factors of 3013 that divides 3013 without a remainder.

1,23,131,3013

Greatest Common Factor

We found the factors and prime factorization of 3008 and 3013. The biggest common factor number is the GCF number.
So the greatest common factor 3008 and 3013 is 1.

Also check out the Least Common Multiple of 3008 and 3013

Properties of GCF 3008 and 3013

(i) The GCF of 3008 and 3013 is associative

GCF of 3008 and 3013 = GCF of 3013 and 3008

Related Greatest Common Factor of 3008

Related Greatest Common Factor of 3013

Frequently Asked Questions on GCF of 3008 and 3013

1. What is the GCF of 3008 and 3013?

Answer: GCF of 3008 and 3013 is 1.

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 3013?

Answer: Factors of 3013 are 1, 23, 131, 3013. There are 4 integers that are factors of 3013. The greatest factor of 3013 is 3013.

4. How to Find the GCF of 3008 and 3013?

Answer:

Greatest Common Factor of 3008 and 3013 = 1

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 3013

3013 = 23 x 131

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3008 and 3013 is 1