Greatest Common Factor of 7997 and 8003

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 7997, 8003 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7997 and 8003 is 1.

GCF(7997,8003) = 1

GCF of 7997 and 8003

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

GCF of:
and

Greatest Common Factor of 7997 and 8003

GCF of 7997 and 8003 is 1

Prime Factorization of 7997


11 7997
727 727
1

Prime factors of 7997 are 11,727. Prime factorization of 7997 in exponential form is:

7997 = 111×7271

Prime Factorization of 8003


53 8003
151 151
1

Prime factors of 8003 are 53,151. Prime factorization of 8003 in exponential form is:

8003 = 531×1511

∴ So by taking common prime factors GCF of 7997 and 8003 is 1

Greatest Common Factor of 7997 and 8003 by matching factors method

Factors of 7997

List of positive integer factors of 7997 that divides 7997 without a remainder.

1,11,727,7997

Factors of 8003

List of positive integer factors of 8003 that divides 8003 without a remainder.

1,53,151,8003

Greatest Common Factor

We found the factors and prime factorization of 7997 and 8003. The biggest common factor number is the GCF number.
So the greatest common factor 7997 and 8003 is 1.

Also check out the Least Common Multiple of 7997 and 8003

Properties of GCF 7997 and 8003

(i) The GCF of 7997 and 8003 is associative

GCF of 7997 and 8003 = GCF of 8003 and 7997

Related Greatest Common Factor of 7997

Related Greatest Common Factor of 8003

Frequently Asked Questions on GCF of 7997 and 8003

1. What is the GCF of 7997 and 8003?

Answer: GCF of 7997 and 8003 is 1.

2. What are the Factors of 7997?

Answer: Factors of 7997 are 1, 11, 727, 7997. There are 4 integers that are factors of 7997. The greatest factor of 7997 is 7997.

3. What are the Factors of 8003?

Answer: Factors of 8003 are 1, 53, 151, 8003. There are 4 integers that are factors of 8003. The greatest factor of 8003 is 8003.

4. How to Find the GCF of 7997 and 8003?

Answer:

Greatest Common Factor of 7997 and 8003 = 1

Step 1: Find the prime factorization of 7997

7997 = 11 x 727

Step 2: Find the prime factorization of 8003

8003 = 53 x 151

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 7997 and 8003 is 1