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 988, 996 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 988 and 996 is 4.
GCF(988,996) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 988
2 | 988 |
2 | 494 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 988 are 2,13,19. Prime factorization of 988 in exponential form is:
988 = 22×131×191
Prime Factorization of 996
2 | 996 |
2 | 498 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 996 are 2,3,83. Prime factorization of 996 in exponential form is:
996 = 22×31×831
∴ So by taking common prime factors GCF of 988 and 996 is 4
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors and prime factorization of 988 and 996. The biggest common factor number is the GCF number.
So the greatest common factor 988 and 996 is 4.
Also check out the Least Common Multiple of 988 and 996
(i) The GCF of 988 and 996 is associative
GCF of 988 and 996 = GCF of 996 and 988
1. What is the GCF of 988 and 996?
Answer: GCF of 988 and 996 is 4.
2. What are the Factors of 988?
Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.
3. What are the Factors of 996?
Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.
4. How to Find the GCF of 988 and 996?
Answer:
Greatest Common Factor of 988 and 996 = 4
Step 1: Find the prime factorization of 988
988 = 2 x 2 x 13 x 19
Step 2: Find the prime factorization of 996
996 = 2 x 2 x 3 x 83
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 988 and 996 is 4