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 981, 984 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 981 and 984 is 3.
GCF(981,984) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 981
3 | 981 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:
981 = 32×1091
Prime Factorization of 984
2 | 984 |
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 984 are 2,3,41. Prime factorization of 984 in exponential form is:
984 = 23×31×411
∴ So by taking common prime factors GCF of 981 and 984 is 3
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors and prime factorization of 981 and 984. The biggest common factor number is the GCF number.
So the greatest common factor 981 and 984 is 3.
Also check out the Least Common Multiple of 981 and 984
(i) The GCF of 981 and 984 is associative
GCF of 981 and 984 = GCF of 984 and 981
1. What is the GCF of 981 and 984?
Answer: GCF of 981 and 984 is 3.
2. What are the Factors of 981?
Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.
3. What are the Factors of 984?
Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.
4. How to Find the GCF of 981 and 984?
Answer:
Greatest Common Factor of 981 and 984 = 3
Step 1: Find the prime factorization of 981
981 = 3 x 3 x 109
Step 2: Find the prime factorization of 984
984 = 2 x 2 x 2 x 3 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 981 and 984 is 3