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 8780, 8781 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8780 and 8781 is 1.
GCF(8780,8781) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8780
2 | 8780 |
2 | 4390 |
5 | 2195 |
439 | 439 |
1 |
Prime factors of 8780 are 2,5,439. Prime factorization of 8780 in exponential form is:
8780 = 22×51×4391
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
∴ So by taking common prime factors GCF of 8780 and 8781 is 1
Factors of 8780
List of positive integer factors of 8780 that divides 8780 without a remainder.
1,2,4,5,10,20,439,878,1756,2195,4390,8780
Factors of 8781
List of positive integer factors of 8781 that divides 8781 without a remainder.
1,3,2927,8781
Greatest Common Factor
We found the factors and prime factorization of 8780 and 8781. The biggest common factor number is the GCF number.
So the greatest common factor 8780 and 8781 is 1.
Also check out the Least Common Multiple of 8780 and 8781
(i) The GCF of 8780 and 8781 is associative
GCF of 8780 and 8781 = GCF of 8781 and 8780
1. What is the GCF of 8780 and 8781?
Answer: GCF of 8780 and 8781 is 1.
2. What are the Factors of 8780?
Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.
3. 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.
4. How to Find the GCF of 8780 and 8781?
Answer:
Greatest Common Factor of 8780 and 8781 = 1
Step 1: Find the prime factorization of 8780
8780 = 2 x 2 x 5 x 439
Step 2: Find the prime factorization of 8781
8781 = 3 x 2927
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 8780 and 8781 is 1