Greatest Common Factor of 7684 and 7690

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 7684, 7690 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7684 and 7690 is 2.

GCF(7684,7690) = 2

GCF of 7684 and 7690

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

GCF of:
and

Greatest Common Factor of 7684 and 7690

GCF of 7684 and 7690 is 2

Prime Factorization of 7684


2 7684
2 3842
17 1921
113 113
1

Prime factors of 7684 are 2,17,113. Prime factorization of 7684 in exponential form is:

7684 = 22×171×1131

Prime Factorization of 7690


2 7690
5 3845
769 769
1

Prime factors of 7690 are 2,5,769. Prime factorization of 7690 in exponential form is:

7690 = 21×51×7691

∴ So by taking common prime factors GCF of 7684 and 7690 is 2

Greatest Common Factor of 7684 and 7690 by matching factors method

Factors of 7684

List of positive integer factors of 7684 that divides 7684 without a remainder.

1,2,4,17,34,68,113,226,452,1921,3842,7684

Factors of 7690

List of positive integer factors of 7690 that divides 7690 without a remainder.

1,2,5,10,769,1538,3845,7690

Greatest Common Factor

We found the factors and prime factorization of 7684 and 7690. The biggest common factor number is the GCF number.
So the greatest common factor 7684 and 7690 is 2.

Also check out the Least Common Multiple of 7684 and 7690

Properties of GCF 7684 and 7690

(i) The GCF of 7684 and 7690 is associative

GCF of 7684 and 7690 = GCF of 7690 and 7684

Related Greatest Common Factor of 7684

Related Greatest Common Factor of 7690

Frequently Asked Questions on GCF of 7684 and 7690

1. What is the GCF of 7684 and 7690?

Answer: GCF of 7684 and 7690 is 2.

2. What are the Factors of 7684?

Answer: Factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684. There are 12 integers that are factors of 7684. The greatest factor of 7684 is 7684.

3. What are the Factors of 7690?

Answer: Factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690. There are 8 integers that are factors of 7690. The greatest factor of 7690 is 7690.

4. How to Find the GCF of 7684 and 7690?

Answer:

Greatest Common Factor of 7684 and 7690 = 2

Step 1: Find the prime factorization of 7684

7684 = 2 x 2 x 17 x 113

Step 2: Find the prime factorization of 7690

7690 = 2 x 5 x 769

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 7684 and 7690 is 2