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 7780, 7788 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7780 and 7788 is 4.
GCF(7780,7788) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7780
2 | 7780 |
2 | 3890 |
5 | 1945 |
389 | 389 |
1 |
Prime factors of 7780 are 2,5,389. Prime factorization of 7780 in exponential form is:
7780 = 22×51×3891
Prime Factorization of 7788
2 | 7788 |
2 | 3894 |
3 | 1947 |
11 | 649 |
59 | 59 |
1 |
Prime factors of 7788 are 2,3,11,59. Prime factorization of 7788 in exponential form is:
7788 = 22×31×111×591
∴ So by taking common prime factors GCF of 7780 and 7788 is 4
Factors of 7780
List of positive integer factors of 7780 that divides 7780 without a remainder.
1,2,4,5,10,20,389,778,1556,1945,3890,7780
Factors of 7788
List of positive integer factors of 7788 that divides 7788 without a remainder.
1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788
Greatest Common Factor
We found the factors and prime factorization of 7780 and 7788. The biggest common factor number is the GCF number.
So the greatest common factor 7780 and 7788 is 4.
Also check out the Least Common Multiple of 7780 and 7788
(i) The GCF of 7780 and 7788 is associative
GCF of 7780 and 7788 = GCF of 7788 and 7780
1. What is the GCF of 7780 and 7788?
Answer: GCF of 7780 and 7788 is 4.
2. What are the Factors of 7780?
Answer: Factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780. There are 12 integers that are factors of 7780. The greatest factor of 7780 is 7780.
3. What are the Factors of 7788?
Answer: Factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788. There are 24 integers that are factors of 7788. The greatest factor of 7788 is 7788.
4. How to Find the GCF of 7780 and 7788?
Answer:
Greatest Common Factor of 7780 and 7788 = 4
Step 1: Find the prime factorization of 7780
7780 = 2 x 2 x 5 x 389
Step 2: Find the prime factorization of 7788
7788 = 2 x 2 x 3 x 11 x 59
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 7780 and 7788 is 4