Greatest Common Factor of 7745 and 7750

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 7745, 7750 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7745 and 7750 is 5.

GCF(7745,7750) = 5

GCF of 7745 and 7750

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

GCF of:
and

Greatest Common Factor of 7745 and 7750

GCF of 7745 and 7750 is 5

Prime Factorization of 7745


5 7745
1549 1549
1

Prime factors of 7745 are 5,1549. Prime factorization of 7745 in exponential form is:

7745 = 51×15491

Prime Factorization of 7750


2 7750
5 3875
5 775
5 155
31 31
1

Prime factors of 7750 are 2,5,31. Prime factorization of 7750 in exponential form is:

7750 = 21×53×311

∴ So by taking common prime factors GCF of 7745 and 7750 is 5

Greatest Common Factor of 7745 and 7750 by matching factors method

Factors of 7745

List of positive integer factors of 7745 that divides 7745 without a remainder.

1,5,1549,7745

Factors of 7750

List of positive integer factors of 7750 that divides 7750 without a remainder.

1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750

Greatest Common Factor

We found the factors and prime factorization of 7745 and 7750. The biggest common factor number is the GCF number.
So the greatest common factor 7745 and 7750 is 5.

Also check out the Least Common Multiple of 7745 and 7750

Properties of GCF 7745 and 7750

(i) The GCF of 7745 and 7750 is associative

GCF of 7745 and 7750 = GCF of 7750 and 7745

Related Greatest Common Factor of 7745

Related Greatest Common Factor of 7750

Frequently Asked Questions on GCF of 7745 and 7750

1. What is the GCF of 7745 and 7750?

Answer: GCF of 7745 and 7750 is 5.

2. What are the Factors of 7745?

Answer: Factors of 7745 are 1, 5, 1549, 7745. There are 4 integers that are factors of 7745. The greatest factor of 7745 is 7745.

3. What are the Factors of 7750?

Answer: Factors of 7750 are 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750. There are 16 integers that are factors of 7750. The greatest factor of 7750 is 7750.

4. How to Find the GCF of 7745 and 7750?

Answer:

Greatest Common Factor of 7745 and 7750 = 5

Step 1: Find the prime factorization of 7745

7745 = 5 x 1549

Step 2: Find the prime factorization of 7750

7750 = 2 x 5 x 5 x 5 x 31

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 7745 and 7750 is 5