Greatest Common Factor of 8017 and 8023

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 8017, 8023 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8017 and 8023 is 1.

GCF(8017,8023) = 1

GCF of 8017 and 8023

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

GCF of:
and

Greatest Common Factor of 8017 and 8023

GCF of 8017 and 8023 is 1

Prime Factorization of 8017


8017 8017
1

Prime factors of 8017 are 8017. Prime factorization of 8017 in exponential form is:

8017 = 80171

Prime Factorization of 8023


71 8023
113 113
1

Prime factors of 8023 are 71.Prime factorization of 8023 in exponential form is:

8023 = 711×1131

∴ So by taking common prime factors GCF of 8017 and 8023 is 1

Greatest Common Factor of 8017 and 8023 by matching factors method

Factors of 8017

List of positive integer factors of 8017 that divides 8017 without a remainder.

1,8017

Factors of 8023

List of positive integer factors of 8023 that divides 8023 without a remainder.

1,71,113,8023

Greatest Common Factor

We found the factors and prime factorization of 8017 and 8023. The biggest common factor number is the GCF number.
So the greatest common factor 8017 and 8023 is 1.

Also check out the Least Common Multiple of 8017 and 8023

Properties of GCF 8017 and 8023

(i) The GCF of 8017 and 8023 is associative

GCF of 8017 and 8023 = GCF of 8023 and 8017

Related Greatest Common Factor of 8017

Related Greatest Common Factor of 8023

Frequently Asked Questions on GCF of 8017 and 8023

1. What is the GCF of 8017 and 8023?

Answer: GCF of 8017 and 8023 is 1.

2. What are the Factors of 8017?

Answer: Factors of 8017 are 1, 8017. There are 2 integers that are factors of 8017. The greatest factor of 8017 is 8017.

3. What are the Factors of 8023?

Answer: Factors of 8023 are 1, 71, 113, 8023. There are 4 integers that are factors of 8023. The greatest factor of 8023 is 8023.

4. How to Find the GCF of 8017 and 8023?

Answer:

Greatest Common Factor of 8017 and 8023 = 1

Step 1: Find the prime factorization of 8017

8017 = 8017

Step 2: Find the prime factorization of 8023

8023 = 71 x 113

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 8017 and 8023 is 1