Greatest Common Factor of 7770 and 7775

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 7770, 7775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7770 and 7775 is 5.

GCF(7770,7775) = 5

GCF of 7770 and 7775

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

GCF of:
and

Greatest Common Factor of 7770 and 7775

GCF of 7770 and 7775 is 5

Prime Factorization of 7770


2 7770
3 3885
5 1295
7 259
37 37
1

Prime factors of 7770 are 2,3,5,7,37. Prime factorization of 7770 in exponential form is:

7770 = 21×31×51×71×371

Prime Factorization of 7775


5 7775
5 1555
311 311
1

Prime factors of 7775 are 5,311. Prime factorization of 7775 in exponential form is:

7775 = 52×3111

∴ So by taking common prime factors GCF of 7770 and 7775 is 5

Greatest Common Factor of 7770 and 7775 by matching factors method

Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770

Factors of 7775

List of positive integer factors of 7775 that divides 7775 without a remainder.

1,5,25,311,1555,7775

Greatest Common Factor

We found the factors and prime factorization of 7770 and 7775. The biggest common factor number is the GCF number.
So the greatest common factor 7770 and 7775 is 5.

Also check out the Least Common Multiple of 7770 and 7775

Properties of GCF 7770 and 7775

(i) The GCF of 7770 and 7775 is associative

GCF of 7770 and 7775 = GCF of 7775 and 7770

Related Greatest Common Factor of 7770

Related Greatest Common Factor of 7775

Frequently Asked Questions on GCF of 7770 and 7775

1. What is the GCF of 7770 and 7775?

Answer: GCF of 7770 and 7775 is 5.

2. What are the Factors of 7770?

Answer: Factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770. There are 32 integers that are factors of 7770. The greatest factor of 7770 is 7770.

3. What are the Factors of 7775?

Answer: Factors of 7775 are 1, 5, 25, 311, 1555, 7775. There are 6 integers that are factors of 7775. The greatest factor of 7775 is 7775.

4. How to Find the GCF of 7770 and 7775?

Answer:

Greatest Common Factor of 7770 and 7775 = 5

Step 1: Find the prime factorization of 7770

7770 = 2 x 3 x 5 x 7 x 37

Step 2: Find the prime factorization of 7775

7775 = 5 x 5 x 311

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 7770 and 7775 is 5