Greatest Common Factor of 7762 and 7770

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 7762, 7770 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7762 and 7770 is 2.

GCF(7762,7770) = 2

GCF of 7762 and 7770

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

GCF of:
and

Greatest Common Factor of 7762 and 7770

GCF of 7762 and 7770 is 2

Prime Factorization of 7762


2 7762
3881 3881
1

Prime factors of 7762 are 2,3881. Prime factorization of 7762 in exponential form is:

7762 = 21×38811

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

∴ So by taking common prime factors GCF of 7762 and 7770 is 2

Greatest Common Factor of 7762 and 7770 by matching factors method

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

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

Greatest Common Factor

We found the factors and prime factorization of 7762 and 7770. The biggest common factor number is the GCF number.
So the greatest common factor 7762 and 7770 is 2.

Also check out the Least Common Multiple of 7762 and 7770

Properties of GCF 7762 and 7770

(i) The GCF of 7762 and 7770 is associative

GCF of 7762 and 7770 = GCF of 7770 and 7762

Related Greatest Common Factor of 7762

Related Greatest Common Factor of 7770

Frequently Asked Questions on GCF of 7762 and 7770

1. What is the GCF of 7762 and 7770?

Answer: GCF of 7762 and 7770 is 2.

2. What are the Factors of 7762?

Answer: Factors of 7762 are 1, 2, 3881, 7762. There are 4 integers that are factors of 7762. The greatest factor of 7762 is 7762.

3. 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.

4. How to Find the GCF of 7762 and 7770?

Answer:

Greatest Common Factor of 7762 and 7770 = 2

Step 1: Find the prime factorization of 7762

7762 = 2 x 3881

Step 2: Find the prime factorization of 7770

7770 = 2 x 3 x 5 x 7 x 37

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 7762 and 7770 is 2