Greatest Common Factor of 3023 and 3026

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 3023, 3026 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3023 and 3026 is 1.

GCF(3023,3026) = 1

GCF of 3023 and 3026

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

GCF of:
and

Greatest Common Factor of 3023 and 3026

GCF of 3023 and 3026 is 1

Prime Factorization of 3023


3023 3023
1

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

3023 = 30231

Prime Factorization of 3026


2 3026
17 1513
89 89
1

Prime factors of 3026 are 2.Prime factorization of 3026 in exponential form is:

3026 = 21×171×891

∴ So by taking common prime factors GCF of 3023 and 3026 is 1

Greatest Common Factor of 3023 and 3026 by matching factors method

Factors of 3023

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

1,3023

Factors of 3026

List of positive integer factors of 3026 that divides 3026 without a remainder.

1,2,17,34,89,178,1513,3026

Greatest Common Factor

We found the factors and prime factorization of 3023 and 3026. The biggest common factor number is the GCF number.
So the greatest common factor 3023 and 3026 is 1.

Also check out the Least Common Multiple of 3023 and 3026

Properties of GCF 3023 and 3026

(i) The GCF of 3023 and 3026 is associative

GCF of 3023 and 3026 = GCF of 3026 and 3023

Frequently Asked Questions on GCF of 3023 and 3026

1. What is the GCF of 3023 and 3026?

Answer: GCF of 3023 and 3026 is 1.

2. 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.

3. What are the Factors of 3026?

Answer: Factors of 3026 are 1, 2, 17, 34, 89, 178, 1513, 3026. There are 8 integers that are factors of 3026. The greatest factor of 3026 is 3026.

4. How to Find the GCF of 3023 and 3026?

Answer:

Greatest Common Factor of 3023 and 3026 = 1

Step 1: Find the prime factorization of 3023

3023 = 3023

Step 2: Find the prime factorization of 3026

3026 = 2 x 17 x 89

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 3023 and 3026 is 1