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 8776, 8780 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8776 and 8780 is 4.
GCF(8776,8780) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8776
2 | 8776 |
2 | 4388 |
2 | 2194 |
1097 | 1097 |
1 |
Prime factors of 8776 are 2,1097. Prime factorization of 8776 in exponential form is:
8776 = 23×10971
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
∴ So by taking common prime factors GCF of 8776 and 8780 is 4
Factors of 8776
List of positive integer factors of 8776 that divides 8776 without a remainder.
1,2,4,8,1097,2194,4388,8776
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
Greatest Common Factor
We found the factors and prime factorization of 8776 and 8780. The biggest common factor number is the GCF number.
So the greatest common factor 8776 and 8780 is 4.
Also check out the Least Common Multiple of 8776 and 8780
(i) The GCF of 8776 and 8780 is associative
GCF of 8776 and 8780 = GCF of 8780 and 8776
1. What is the GCF of 8776 and 8780?
Answer: GCF of 8776 and 8780 is 4.
2. What are the Factors of 8776?
Answer: Factors of 8776 are 1, 2, 4, 8, 1097, 2194, 4388, 8776. There are 8 integers that are factors of 8776. The greatest factor of 8776 is 8776.
3. 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.
4. How to Find the GCF of 8776 and 8780?
Answer:
Greatest Common Factor of 8776 and 8780 = 4
Step 1: Find the prime factorization of 8776
8776 = 2 x 2 x 2 x 1097
Step 2: Find the prime factorization of 8780
8780 = 2 x 2 x 5 x 439
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 8776 and 8780 is 4