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 6772, 6776 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6772 and 6776 is 4.
GCF(6772,6776) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6772
2 | 6772 |
2 | 3386 |
1693 | 1693 |
1 |
Prime factors of 6772 are 2,1693. Prime factorization of 6772 in exponential form is:
6772 = 22×16931
Prime Factorization of 6776
2 | 6776 |
2 | 3388 |
2 | 1694 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 6776 are 2,7,11. Prime factorization of 6776 in exponential form is:
6776 = 23×71×112
∴ So by taking common prime factors GCF of 6772 and 6776 is 4
Factors of 6772
List of positive integer factors of 6772 that divides 6772 without a remainder.
1,2,4,1693,3386,6772
Factors of 6776
List of positive integer factors of 6776 that divides 6776 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776
Greatest Common Factor
We found the factors and prime factorization of 6772 and 6776. The biggest common factor number is the GCF number.
So the greatest common factor 6772 and 6776 is 4.
Also check out the Least Common Multiple of 6772 and 6776
(i) The GCF of 6772 and 6776 is associative
GCF of 6772 and 6776 = GCF of 6776 and 6772
1. What is the GCF of 6772 and 6776?
Answer: GCF of 6772 and 6776 is 4.
2. What are the Factors of 6772?
Answer: Factors of 6772 are 1, 2, 4, 1693, 3386, 6772. There are 6 integers that are factors of 6772. The greatest factor of 6772 is 6772.
3. What are the Factors of 6776?
Answer: Factors of 6776 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776. There are 24 integers that are factors of 6776. The greatest factor of 6776 is 6776.
4. How to Find the GCF of 6772 and 6776?
Answer:
Greatest Common Factor of 6772 and 6776 = 4
Step 1: Find the prime factorization of 6772
6772 = 2 x 2 x 1693
Step 2: Find the prime factorization of 6776
6776 = 2 x 2 x 2 x 7 x 11 x 11
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 6772 and 6776 is 4