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 2772, 2780 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2772 and 2780 is 4.
GCF(2772,2780) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2772
2 | 2772 |
2 | 1386 |
3 | 693 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 2772 are 2,3,7,11. Prime factorization of 2772 in exponential form is:
2772 = 22×32×71×111
Prime Factorization of 2780
2 | 2780 |
2 | 1390 |
5 | 695 |
139 | 139 |
1 |
Prime factors of 2780 are 2,5,139. Prime factorization of 2780 in exponential form is:
2780 = 22×51×1391
∴ So by taking common prime factors GCF of 2772 and 2780 is 4
Factors of 2772
List of positive integer factors of 2772 that divides 2772 without a remainder.
1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772
Factors of 2780
List of positive integer factors of 2780 that divides 2780 without a remainder.
1,2,4,5,10,20,139,278,556,695,1390,2780
Greatest Common Factor
We found the factors and prime factorization of 2772 and 2780. The biggest common factor number is the GCF number.
So the greatest common factor 2772 and 2780 is 4.
Also check out the Least Common Multiple of 2772 and 2780
(i) The GCF of 2772 and 2780 is associative
GCF of 2772 and 2780 = GCF of 2780 and 2772
1. What is the GCF of 2772 and 2780?
Answer: GCF of 2772 and 2780 is 4.
2. What are the Factors of 2772?
Answer: Factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772. There are 36 integers that are factors of 2772. The greatest factor of 2772 is 2772.
3. What are the Factors of 2780?
Answer: Factors of 2780 are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780. There are 12 integers that are factors of 2780. The greatest factor of 2780 is 2780.
4. How to Find the GCF of 2772 and 2780?
Answer:
Greatest Common Factor of 2772 and 2780 = 4
Step 1: Find the prime factorization of 2772
2772 = 2 x 2 x 3 x 3 x 7 x 11
Step 2: Find the prime factorization of 2780
2780 = 2 x 2 x 5 x 139
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2772 and 2780 is 4