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 7772, 7775 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7772 and 7775 is 1.
GCF(7772,7775) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7772
2 | 7772 |
2 | 3886 |
29 | 1943 |
67 | 67 |
1 |
Prime factors of 7772 are 2,29,67. Prime factorization of 7772 in exponential form is:
7772 = 22×291×671
Prime Factorization of 7775
5 | 7775 |
5 | 1555 |
311 | 311 |
1 |
Prime factors of 7775 are 5,311. Prime factorization of 7775 in exponential form is:
7775 = 52×3111
∴ So by taking common prime factors GCF of 7772 and 7775 is 1
Factors of 7772
List of positive integer factors of 7772 that divides 7772 without a remainder.
1,2,4,29,58,67,116,134,268,1943,3886,7772
Factors of 7775
List of positive integer factors of 7775 that divides 7775 without a remainder.
1,5,25,311,1555,7775
Greatest Common Factor
We found the factors and prime factorization of 7772 and 7775. The biggest common factor number is the GCF number.
So the greatest common factor 7772 and 7775 is 1.
Also check out the Least Common Multiple of 7772 and 7775
(i) The GCF of 7772 and 7775 is associative
GCF of 7772 and 7775 = GCF of 7775 and 7772
1. What is the GCF of 7772 and 7775?
Answer: GCF of 7772 and 7775 is 1.
2. What are the Factors of 7772?
Answer: Factors of 7772 are 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772. There are 12 integers that are factors of 7772. The greatest factor of 7772 is 7772.
3. What are the Factors of 7775?
Answer: Factors of 7775 are 1, 5, 25, 311, 1555, 7775. There are 6 integers that are factors of 7775. The greatest factor of 7775 is 7775.
4. How to Find the GCF of 7772 and 7775?
Answer:
Greatest Common Factor of 7772 and 7775 = 1
Step 1: Find the prime factorization of 7772
7772 = 2 x 2 x 29 x 67
Step 2: Find the prime factorization of 7775
7775 = 5 x 5 x 311
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7772 and 7775 is 1