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 979, 984 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 979 and 984 is 1.
GCF(979,984) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 979
11 | 979 |
89 | 89 |
1 |
Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:
979 = 111×891
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 979 and 984 is 1
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
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 979 and 984. The biggest common factor number is the GCF number.
So the greatest common factor 979 and 984 is 1.
Also check out the Least Common Multiple of 979 and 984
(i) The GCF of 979 and 984 is associative
GCF of 979 and 984 = GCF of 984 and 979
1. What is the GCF of 979 and 984?
Answer: GCF of 979 and 984 is 1.
2. What are the Factors of 979?
Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.
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 979 and 984?
Answer:
Greatest Common Factor of 979 and 984 = 1
Step 1: Find the prime factorization of 979
979 = 11 x 89
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 = = 1
Step 4: Therefore, the greatest common factor of 979 and 984 is 1