Greatest Common Factor of 7750 and 7755

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 7750, 7755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7750 and 7755 is 5.

GCF(7750,7755) = 5

GCF of 7750 and 7755

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

GCF of:
and

Greatest Common Factor of 7750 and 7755

GCF of 7750 and 7755 is 5

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

Prime Factorization of 7755


3 7755
5 2585
11 517
47 47
1

Prime factors of 7755 are 3,5,11,47. Prime factorization of 7755 in exponential form is:

7755 = 31×51×111×471

∴ So by taking common prime factors GCF of 7750 and 7755 is 5

Greatest Common Factor of 7750 and 7755 by matching factors method

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

Factors of 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755

Greatest Common Factor

We found the factors and prime factorization of 7750 and 7755. The biggest common factor number is the GCF number.
So the greatest common factor 7750 and 7755 is 5.

Also check out the Least Common Multiple of 7750 and 7755

Properties of GCF 7750 and 7755

(i) The GCF of 7750 and 7755 is associative

GCF of 7750 and 7755 = GCF of 7755 and 7750

Related Greatest Common Factor of 7750

Related Greatest Common Factor of 7755

Frequently Asked Questions on GCF of 7750 and 7755

1. What is the GCF of 7750 and 7755?

Answer: GCF of 7750 and 7755 is 5.

2. 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.

3. What are the Factors of 7755?

Answer: Factors of 7755 are 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755. There are 16 integers that are factors of 7755. The greatest factor of 7755 is 7755.

4. How to Find the GCF of 7750 and 7755?

Answer:

Greatest Common Factor of 7750 and 7755 = 5

Step 1: Find the prime factorization of 7750

7750 = 2 x 5 x 5 x 5 x 31

Step 2: Find the prime factorization of 7755

7755 = 3 x 5 x 11 x 47

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 7750 and 7755 is 5