Greatest Common Factor of 2770 and 2775

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 2770, 2775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2770 and 2775 is 5.

GCF(2770,2775) = 5

GCF of 2770 and 2775

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

GCF of:
and

Greatest Common Factor of 2770 and 2775

GCF of 2770 and 2775 is 5

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

Prime Factorization of 2775


3 2775
5 925
5 185
37 37
1

Prime factors of 2775 are 3,5,37. Prime factorization of 2775 in exponential form is:

2775 = 31×52×371

∴ So by taking common prime factors GCF of 2770 and 2775 is 5

Greatest Common Factor of 2770 and 2775 by matching factors method

Factors of 2770

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

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

Factors of 2775

List of positive integer factors of 2775 that divides 2775 without a remainder.

1,3,5,15,25,37,75,111,185,555,925,2775

Greatest Common Factor

We found the factors and prime factorization of 2770 and 2775. The biggest common factor number is the GCF number.
So the greatest common factor 2770 and 2775 is 5.

Also check out the Least Common Multiple of 2770 and 2775

Properties of GCF 2770 and 2775

(i) The GCF of 2770 and 2775 is associative

GCF of 2770 and 2775 = GCF of 2775 and 2770

Related Greatest Common Factor of 2770

Related Greatest Common Factor of 2775

Frequently Asked Questions on GCF of 2770 and 2775

1. What is the GCF of 2770 and 2775?

Answer: GCF of 2770 and 2775 is 5.

2. 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.

3. What are the Factors of 2775?

Answer: Factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775. There are 12 integers that are factors of 2775. The greatest factor of 2775 is 2775.

4. How to Find the GCF of 2770 and 2775?

Answer:

Greatest Common Factor of 2770 and 2775 = 5

Step 1: Find the prime factorization of 2770

2770 = 2 x 5 x 277

Step 2: Find the prime factorization of 2775

2775 = 3 x 5 x 5 x 37

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 2770 and 2775 is 5