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 780, 788 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 780 and 788 is 4.
GCF(780,788) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 780
2 | 780 |
2 | 390 |
3 | 195 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 780 are 2,3,5,13. Prime factorization of 780 in exponential form is:
780 = 22×31×51×131
Prime Factorization of 788
2 | 788 |
2 | 394 |
197 | 197 |
1 |
Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:
788 = 22×1971
∴ So by taking common prime factors GCF of 780 and 788 is 4
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Greatest Common Factor
We found the factors and prime factorization of 780 and 788. The biggest common factor number is the GCF number.
So the greatest common factor 780 and 788 is 4.
Also check out the Least Common Multiple of 780 and 788
(i) The GCF of 780 and 788 is associative
GCF of 780 and 788 = GCF of 788 and 780
1. What is the GCF of 780 and 788?
Answer: GCF of 780 and 788 is 4.
2. What are the Factors of 780?
Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.
3. What are the Factors of 788?
Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.
4. How to Find the GCF of 780 and 788?
Answer:
Greatest Common Factor of 780 and 788 = 4
Step 1: Find the prime factorization of 780
780 = 2 x 2 x 3 x 5 x 13
Step 2: Find the prime factorization of 788
788 = 2 x 2 x 197
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 780 and 788 is 4