Greatest Common Factor of 7748 and 7754

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 7748, 7754 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7748 and 7754 is 2.

GCF(7748,7754) = 2

GCF of 7748 and 7754

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

GCF of:
and

Greatest Common Factor of 7748 and 7754

GCF of 7748 and 7754 is 2

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

Prime Factorization of 7754


2 7754
3877 3877
1

Prime factors of 7754 are 2,3877. Prime factorization of 7754 in exponential form is:

7754 = 21×38771

∴ So by taking common prime factors GCF of 7748 and 7754 is 2

Greatest Common Factor of 7748 and 7754 by matching factors method

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

Factors of 7754

List of positive integer factors of 7754 that divides 7754 without a remainder.

1,2,3877,7754

Greatest Common Factor

We found the factors and prime factorization of 7748 and 7754. The biggest common factor number is the GCF number.
So the greatest common factor 7748 and 7754 is 2.

Also check out the Least Common Multiple of 7748 and 7754

Properties of GCF 7748 and 7754

(i) The GCF of 7748 and 7754 is associative

GCF of 7748 and 7754 = GCF of 7754 and 7748

Related Greatest Common Factor of 7748

Related Greatest Common Factor of 7754

Frequently Asked Questions on GCF of 7748 and 7754

1. What is the GCF of 7748 and 7754?

Answer: GCF of 7748 and 7754 is 2.

2. 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.

3. What are the Factors of 7754?

Answer: Factors of 7754 are 1, 2, 3877, 7754. There are 4 integers that are factors of 7754. The greatest factor of 7754 is 7754.

4. How to Find the GCF of 7748 and 7754?

Answer:

Greatest Common Factor of 7748 and 7754 = 2

Step 1: Find the prime factorization of 7748

7748 = 2 x 2 x 13 x 149

Step 2: Find the prime factorization of 7754

7754 = 2 x 3877

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 7748 and 7754 is 2