Greatest Common Factor of 3016 and 3023

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 3016, 3023 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3016 and 3023 is 1.

GCF(3016,3023) = 1

GCF of 3016 and 3023

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

GCF of:
and

Greatest Common Factor of 3016 and 3023

GCF of 3016 and 3023 is 1

Prime Factorization of 3016


2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 3016 are 2,13,29. Prime factorization of 3016 in exponential form is:

3016 = 23×131×291

Prime Factorization of 3023


3023 3023
1

Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:

3023 = 30231

∴ So by taking common prime factors GCF of 3016 and 3023 is 1

Greatest Common Factor of 3016 and 3023 by matching factors method

Factors of 3016

List of positive integer factors of 3016 that divides 3016 without a remainder.

1,2,4,8,13,26,29,52,58,104,116,232,377,754,1508,3016

Factors of 3023

List of positive integer factors of 3023 that divides 3023 without a remainder.

1,3023

Greatest Common Factor

We found the factors and prime factorization of 3016 and 3023. The biggest common factor number is the GCF number.
So the greatest common factor 3016 and 3023 is 1.

Also check out the Least Common Multiple of 3016 and 3023

Properties of GCF 3016 and 3023

(i) The GCF of 3016 and 3023 is associative

GCF of 3016 and 3023 = GCF of 3023 and 3016

Frequently Asked Questions on GCF of 3016 and 3023

1. What is the GCF of 3016 and 3023?

Answer: GCF of 3016 and 3023 is 1.

2. What are the Factors of 3016?

Answer: Factors of 3016 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016. There are 16 integers that are factors of 3016. The greatest factor of 3016 is 3016.

3. What are the Factors of 3023?

Answer: Factors of 3023 are 1, 3023. There are 2 integers that are factors of 3023. The greatest factor of 3023 is 3023.

4. How to Find the GCF of 3016 and 3023?

Answer:

Greatest Common Factor of 3016 and 3023 = 1

Step 1: Find the prime factorization of 3016

3016 = 2 x 2 x 2 x 13 x 29

Step 2: Find the prime factorization of 3023

3023 = 3023

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 3016 and 3023 is 1