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 2768, 2770 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2768 and 2770 is 2.
GCF(2768,2770) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2768
2 | 2768 |
2 | 1384 |
2 | 692 |
2 | 346 |
173 | 173 |
1 |
Prime factors of 2768 are 2,173. Prime factorization of 2768 in exponential form is:
2768 = 24×1731
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 2768 and 2770 is 2
Factors of 2768
List of positive integer factors of 2768 that divides 2768 without a remainder.
1,2,4,8,16,173,346,692,1384,2768
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 2768 and 2770. The biggest common factor number is the GCF number.
So the greatest common factor 2768 and 2770 is 2.
Also check out the Least Common Multiple of 2768 and 2770
(i) The GCF of 2768 and 2770 is associative
GCF of 2768 and 2770 = GCF of 2770 and 2768
1. What is the GCF of 2768 and 2770?
Answer: GCF of 2768 and 2770 is 2.
2. What are the Factors of 2768?
Answer: Factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768. There are 10 integers that are factors of 2768. The greatest factor of 2768 is 2768.
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 2768 and 2770?
Answer:
Greatest Common Factor of 2768 and 2770 = 2
Step 1: Find the prime factorization of 2768
2768 = 2 x 2 x 2 x 2 x 173
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 2768 and 2770 is 2