Greatest Common Factor of 7730 and 7731

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 7730, 7731 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7730 and 7731 is 1.

GCF(7730,7731) = 1

GCF of 7730 and 7731

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

GCF of:
and

Greatest Common Factor of 7730 and 7731

GCF of 7730 and 7731 is 1

Prime Factorization of 7730


2 7730
5 3865
773 773
1

Prime factors of 7730 are 2,5,773. Prime factorization of 7730 in exponential form is:

7730 = 21×51×7731

Prime Factorization of 7731


3 7731
3 2577
859 859
1

Prime factors of 7731 are 3,859. Prime factorization of 7731 in exponential form is:

7731 = 32×8591

∴ So by taking common prime factors GCF of 7730 and 7731 is 1

Greatest Common Factor of 7730 and 7731 by matching factors method

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Factors of 7731

List of positive integer factors of 7731 that divides 7731 without a remainder.

1,3,9,859,2577,7731

Greatest Common Factor

We found the factors and prime factorization of 7730 and 7731. The biggest common factor number is the GCF number.
So the greatest common factor 7730 and 7731 is 1.

Also check out the Least Common Multiple of 7730 and 7731

Properties of GCF 7730 and 7731

(i) The GCF of 7730 and 7731 is associative

GCF of 7730 and 7731 = GCF of 7731 and 7730

Related Greatest Common Factor of 7730

Related Greatest Common Factor of 7731

Frequently Asked Questions on GCF of 7730 and 7731

1. What is the GCF of 7730 and 7731?

Answer: GCF of 7730 and 7731 is 1.

2. What are the Factors of 7730?

Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.

3. What are the Factors of 7731?

Answer: Factors of 7731 are 1, 3, 9, 859, 2577, 7731. There are 6 integers that are factors of 7731. The greatest factor of 7731 is 7731.

4. How to Find the GCF of 7730 and 7731?

Answer:

Greatest Common Factor of 7730 and 7731 = 1

Step 1: Find the prime factorization of 7730

7730 = 2 x 5 x 773

Step 2: Find the prime factorization of 7731

7731 = 3 x 3 x 859

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 7730 and 7731 is 1