Greatest Common Factor of 2764 and 2770

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 2764, 2770 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2764 and 2770 is 2.

GCF(2764,2770) = 2

GCF of 2764 and 2770

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

GCF of:
and

Greatest Common Factor of 2764 and 2770

GCF of 2764 and 2770 is 2

Prime Factorization of 2764


2 2764
2 1382
691 691
1

Prime factors of 2764 are 2,691. Prime factorization of 2764 in exponential form is:

2764 = 22×6911

Prime Factorization of 2770


2 2770
5 1385
277 277
1

Prime factors of 2770 are 2,5,277. Prime factorization of 2770 in exponential form is:

2770 = 21×51×2771

∴ So by taking common prime factors GCF of 2764 and 2770 is 2

Greatest Common Factor of 2764 and 2770 by matching factors method

Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1,2,4,691,1382,2764

Factors of 2770

List of positive integer factors of 2770 that divides 2770 without a remainder.

1,2,5,10,277,554,1385,2770

Greatest Common Factor

We found the factors and prime factorization of 2764 and 2770. The biggest common factor number is the GCF number.
So the greatest common factor 2764 and 2770 is 2.

Also check out the Least Common Multiple of 2764 and 2770

Properties of GCF 2764 and 2770

(i) The GCF of 2764 and 2770 is associative

GCF of 2764 and 2770 = GCF of 2770 and 2764

Related Greatest Common Factor of 2764

Related Greatest Common Factor of 2770

Frequently Asked Questions on GCF of 2764 and 2770

1. What is the GCF of 2764 and 2770?

Answer: GCF of 2764 and 2770 is 2.

2. What are the Factors of 2764?

Answer: Factors of 2764 are 1, 2, 4, 691, 1382, 2764. There are 6 integers that are factors of 2764. The greatest factor of 2764 is 2764.

3. What are the Factors of 2770?

Answer: Factors of 2770 are 1, 2, 5, 10, 277, 554, 1385, 2770. There are 8 integers that are factors of 2770. The greatest factor of 2770 is 2770.

4. How to Find the GCF of 2764 and 2770?

Answer:

Greatest Common Factor of 2764 and 2770 = 2

Step 1: Find the prime factorization of 2764

2764 = 2 x 2 x 691

Step 2: Find the prime factorization of 2770

2770 = 2 x 5 x 277

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 2764 and 2770 is 2