Greatest Common Factor of 7744 and 7748

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, 7748 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7744 and 7748 is 4.

GCF(7744,7748) = 4

GCF of 7744 and 7748

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

GCF of:
and

Greatest Common Factor of 7744 and 7748

GCF of 7744 and 7748 is 4

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 7748


2 7748
2 3874
13 1937
149 149
1

Prime factors of 7748 are 2,13,149. Prime factorization of 7748 in exponential form is:

7748 = 22×131×1491

∴ So by taking common prime factors GCF of 7744 and 7748 is 4

Greatest Common Factor of 7744 and 7748 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 7748

List of positive integer factors of 7748 that divides 7748 without a remainder.

1,2,4,13,26,52,149,298,596,1937,3874,7748

Greatest Common Factor

We found the factors and prime factorization of 7744 and 7748. The biggest common factor number is the GCF number.
So the greatest common factor 7744 and 7748 is 4.

Also check out the Least Common Multiple of 7744 and 7748

Properties of GCF 7744 and 7748

(i) The GCF of 7744 and 7748 is associative

GCF of 7744 and 7748 = GCF of 7748 and 7744

Related Greatest Common Factor of 7744

Related Greatest Common Factor of 7748

Frequently Asked Questions on GCF of 7744 and 7748

1. What is the GCF of 7744 and 7748?

Answer: GCF of 7744 and 7748 is 4.

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 7748?

Answer: Factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748. There are 12 integers that are factors of 7748. The greatest factor of 7748 is 7748.

4. How to Find the GCF of 7744 and 7748?

Answer:

Greatest Common Factor of 7744 and 7748 = 4

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 7748

7748 = 2 x 2 x 13 x 149

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7744 and 7748 is 4