Greatest Common Factor of 7698 and 7703

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 7698, 7703 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7698 and 7703 is 1.

GCF(7698,7703) = 1

GCF of 7698 and 7703

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

GCF of:
and

Greatest Common Factor of 7698 and 7703

GCF of 7698 and 7703 is 1

Prime Factorization of 7698


2 7698
3 3849
1283 1283
1

Prime factors of 7698 are 2,3,1283. Prime factorization of 7698 in exponential form is:

7698 = 21×31×12831

Prime Factorization of 7703


7703 7703
1

Prime factors of 7703 are 7703. Prime factorization of 7703 in exponential form is:

7703 = 77031

∴ So by taking common prime factors GCF of 7698 and 7703 is 1

Greatest Common Factor of 7698 and 7703 by matching factors method

Factors of 7698

List of positive integer factors of 7698 that divides 7698 without a remainder.

1,2,3,6,1283,2566,3849,7698

Factors of 7703

List of positive integer factors of 7703 that divides 7703 without a remainder.

1,7703

Greatest Common Factor

We found the factors and prime factorization of 7698 and 7703. The biggest common factor number is the GCF number.
So the greatest common factor 7698 and 7703 is 1.

Also check out the Least Common Multiple of 7698 and 7703

Properties of GCF 7698 and 7703

(i) The GCF of 7698 and 7703 is associative

GCF of 7698 and 7703 = GCF of 7703 and 7698

Frequently Asked Questions on GCF of 7698 and 7703

1. What is the GCF of 7698 and 7703?

Answer: GCF of 7698 and 7703 is 1.

2. What are the Factors of 7698?

Answer: Factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698. There are 8 integers that are factors of 7698. The greatest factor of 7698 is 7698.

3. What are the Factors of 7703?

Answer: Factors of 7703 are 1, 7703. There are 2 integers that are factors of 7703. The greatest factor of 7703 is 7703.

4. How to Find the GCF of 7698 and 7703?

Answer:

Greatest Common Factor of 7698 and 7703 = 1

Step 1: Find the prime factorization of 7698

7698 = 2 x 3 x 1283

Step 2: Find the prime factorization of 7703

7703 = 7703

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 7698 and 7703 is 1