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 8781, 8788 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8781 and 8788 is 1.
GCF(8781,8788) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8781
3 | 8781 |
2927 | 2927 |
1 |
Prime factors of 8781 are 3,2927. Prime factorization of 8781 in exponential form is:
8781 = 31×29271
Prime Factorization of 8788
2 | 8788 |
2 | 4394 |
13 | 2197 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 8788 are 2,13. Prime factorization of 8788 in exponential form is:
8788 = 22×133
∴ So by taking common prime factors GCF of 8781 and 8788 is 1
Factors of 8781
List of positive integer factors of 8781 that divides 8781 without a remainder.
1,3,2927,8781
Factors of 8788
List of positive integer factors of 8788 that divides 8788 without a remainder.
1,2,4,13,26,52,169,338,676,2197,4394,8788
Greatest Common Factor
We found the factors and prime factorization of 8781 and 8788. The biggest common factor number is the GCF number.
So the greatest common factor 8781 and 8788 is 1.
Also check out the Least Common Multiple of 8781 and 8788
(i) The GCF of 8781 and 8788 is associative
GCF of 8781 and 8788 = GCF of 8788 and 8781
1. What is the GCF of 8781 and 8788?
Answer: GCF of 8781 and 8788 is 1.
2. What are the Factors of 8781?
Answer: Factors of 8781 are 1, 3, 2927, 8781. There are 4 integers that are factors of 8781. The greatest factor of 8781 is 8781.
3. What are the Factors of 8788?
Answer: Factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788. There are 12 integers that are factors of 8788. The greatest factor of 8788 is 8788.
4. How to Find the GCF of 8781 and 8788?
Answer:
Greatest Common Factor of 8781 and 8788 = 1
Step 1: Find the prime factorization of 8781
8781 = 3 x 2927
Step 2: Find the prime factorization of 8788
8788 = 2 x 2 x 13 x 13 x 13
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 8781 and 8788 is 1