Greatest Common Factor of 7993 and 7997

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 7993, 7997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7993 and 7997 is 1.

GCF(7993,7997) = 1

GCF of 7993 and 7997

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

GCF of:
and

Greatest Common Factor of 7993 and 7997

GCF of 7993 and 7997 is 1

Prime Factorization of 7993


7993 7993
1

Prime factors of 7993 are 7993. Prime factorization of 7993 in exponential form is:

7993 = 79931

Prime Factorization of 7997


11 7997
727 727
1

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

7997 = 111×7271

∴ So by taking common prime factors GCF of 7993 and 7997 is 1

Greatest Common Factor of 7993 and 7997 by matching factors method

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1,7993

Factors of 7997

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

1,11,727,7997

Greatest Common Factor

We found the factors and prime factorization of 7993 and 7997. The biggest common factor number is the GCF number.
So the greatest common factor 7993 and 7997 is 1.

Also check out the Least Common Multiple of 7993 and 7997

Properties of GCF 7993 and 7997

(i) The GCF of 7993 and 7997 is associative

GCF of 7993 and 7997 = GCF of 7997 and 7993

Related Greatest Common Factor of 7993

Related Greatest Common Factor of 7997

Frequently Asked Questions on GCF of 7993 and 7997

1. What is the GCF of 7993 and 7997?

Answer: GCF of 7993 and 7997 is 1.

2. What are the Factors of 7993?

Answer: Factors of 7993 are 1, 7993. There are 2 integers that are factors of 7993. The greatest factor of 7993 is 7993.

3. 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.

4. How to Find the GCF of 7993 and 7997?

Answer:

Greatest Common Factor of 7993 and 7997 = 1

Step 1: Find the prime factorization of 7993

7993 = 7993

Step 2: Find the prime factorization of 7997

7997 = 11 x 727

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 7993 and 7997 is 1