Greatest Common Factor of 7725 and 7730

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 7725, 7730 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7725 and 7730 is 5.

GCF(7725,7730) = 5

GCF of 7725 and 7730

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

GCF of:
and

Greatest Common Factor of 7725 and 7730

GCF of 7725 and 7730 is 5

Prime Factorization of 7725


3 7725
5 2575
5 515
103 103
1

Prime factors of 7725 are 3,5,103. Prime factorization of 7725 in exponential form is:

7725 = 31×52×1031

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

∴ So by taking common prime factors GCF of 7725 and 7730 is 5

Greatest Common Factor of 7725 and 7730 by matching factors method

Factors of 7725

List of positive integer factors of 7725 that divides 7725 without a remainder.

1,3,5,15,25,75,103,309,515,1545,2575,7725

Factors of 7730

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

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

Greatest Common Factor

We found the factors and prime factorization of 7725 and 7730. The biggest common factor number is the GCF number.
So the greatest common factor 7725 and 7730 is 5.

Also check out the Least Common Multiple of 7725 and 7730

Properties of GCF 7725 and 7730

(i) The GCF of 7725 and 7730 is associative

GCF of 7725 and 7730 = GCF of 7730 and 7725

Related Greatest Common Factor of 7725

Related Greatest Common Factor of 7730

Frequently Asked Questions on GCF of 7725 and 7730

1. What is the GCF of 7725 and 7730?

Answer: GCF of 7725 and 7730 is 5.

2. What are the Factors of 7725?

Answer: Factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725. There are 12 integers that are factors of 7725. The greatest factor of 7725 is 7725.

3. 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.

4. How to Find the GCF of 7725 and 7730?

Answer:

Greatest Common Factor of 7725 and 7730 = 5

Step 1: Find the prime factorization of 7725

7725 = 3 x 5 x 5 x 103

Step 2: Find the prime factorization of 7730

7730 = 2 x 5 x 773

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7725 and 7730 is 5