Greatest Common Factor of 8023 and 8027

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 8023, 8027 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8023 and 8027 is 1.

GCF(8023,8027) = 1

GCF of 8023 and 8027

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

GCF of:
and

Greatest Common Factor of 8023 and 8027

GCF of 8023 and 8027 is 1

Prime Factorization of 8023


71 8023
113 113
1

Prime factors of 8023 are 71,113. Prime factorization of 8023 in exponential form is:

8023 = 711×1131

Prime Factorization of 8027


23 8027
349 349
1

Prime factors of 8027 are 23,349. Prime factorization of 8027 in exponential form is:

8027 = 231×3491

∴ So by taking common prime factors GCF of 8023 and 8027 is 1

Greatest Common Factor of 8023 and 8027 by matching factors method

Factors of 8023

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

1,71,113,8023

Factors of 8027

List of positive integer factors of 8027 that divides 8027 without a remainder.

1,23,349,8027

Greatest Common Factor

We found the factors and prime factorization of 8023 and 8027. The biggest common factor number is the GCF number.
So the greatest common factor 8023 and 8027 is 1.

Also check out the Least Common Multiple of 8023 and 8027

Properties of GCF 8023 and 8027

(i) The GCF of 8023 and 8027 is associative

GCF of 8023 and 8027 = GCF of 8027 and 8023

Related Greatest Common Factor of 8023

Related Greatest Common Factor of 8027

Frequently Asked Questions on GCF of 8023 and 8027

1. What is the GCF of 8023 and 8027?

Answer: GCF of 8023 and 8027 is 1.

2. 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.

3. What are the Factors of 8027?

Answer: Factors of 8027 are 1, 23, 349, 8027. There are 4 integers that are factors of 8027. The greatest factor of 8027 is 8027.

4. How to Find the GCF of 8023 and 8027?

Answer:

Greatest Common Factor of 8023 and 8027 = 1

Step 1: Find the prime factorization of 8023

8023 = 71 x 113

Step 2: Find the prime factorization of 8027

8027 = 23 x 349

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 8023 and 8027 is 1