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 8980, 8983 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8980 and 8983 is 1.
GCF(8980,8983) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8980
2 | 8980 |
2 | 4490 |
5 | 2245 |
449 | 449 |
1 |
Prime factors of 8980 are 2,5,449. Prime factorization of 8980 in exponential form is:
8980 = 22×51×4491
Prime Factorization of 8983
13 | 8983 |
691 | 691 |
1 |
Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:
8983 = 131×6911
∴ So by taking common prime factors GCF of 8980 and 8983 is 1
Factors of 8980
List of positive integer factors of 8980 that divides 8980 without a remainder.
1,2,4,5,10,20,449,898,1796,2245,4490,8980
Factors of 8983
List of positive integer factors of 8983 that divides 8983 without a remainder.
1,13,691,8983
Greatest Common Factor
We found the factors and prime factorization of 8980 and 8983. The biggest common factor number is the GCF number.
So the greatest common factor 8980 and 8983 is 1.
Also check out the Least Common Multiple of 8980 and 8983
(i) The GCF of 8980 and 8983 is associative
GCF of 8980 and 8983 = GCF of 8983 and 8980
1. What is the GCF of 8980 and 8983?
Answer: GCF of 8980 and 8983 is 1.
2. What are the Factors of 8980?
Answer: Factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980. There are 12 integers that are factors of 8980. The greatest factor of 8980 is 8980.
3. What are the Factors of 8983?
Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.
4. How to Find the GCF of 8980 and 8983?
Answer:
Greatest Common Factor of 8980 and 8983 = 1
Step 1: Find the prime factorization of 8980
8980 = 2 x 2 x 5 x 449
Step 2: Find the prime factorization of 8983
8983 = 13 x 691
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 8980 and 8983 is 1