Greatest Common Factor of 7744 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 7744, 7750 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7744 and 7750 is 2.

GCF(7744,7750) = 2

GCF of 7744 and 7750

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

GCF of:
and

Greatest Common Factor of 7744 and 7750

GCF of 7744 and 7750 is 2

Prime Factorization of 7744


2 7744
2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 7744 are 2,11. Prime factorization of 7744 in exponential form is:

7744 = 26×112

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 7744 and 7750 is 2

Greatest Common Factor of 7744 and 7750 by matching factors method

Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

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 7744 and 7750. The biggest common factor number is the GCF number.
So the greatest common factor 7744 and 7750 is 2.

Also check out the Least Common Multiple of 7744 and 7750

Properties of GCF 7744 and 7750

(i) The GCF of 7744 and 7750 is associative

GCF of 7744 and 7750 = GCF of 7750 and 7744

Related Greatest Common Factor of 7744

Related Greatest Common Factor of 7750

Frequently Asked Questions on GCF of 7744 and 7750

1. What is the GCF of 7744 and 7750?

Answer: GCF of 7744 and 7750 is 2.

2. What are the Factors of 7744?

Answer: Factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744. There are 21 integers that are factors of 7744. The greatest factor of 7744 is 7744.

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 7744 and 7750?

Answer:

Greatest Common Factor of 7744 and 7750 = 2

Step 1: Find the prime factorization of 7744

7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11

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 = 2

Step 4: Therefore, the greatest common factor of 7744 and 7750 is 2