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 978, 986 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 978 and 986 is 2.
GCF(978,986) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 978
2 | 978 |
3 | 489 |
163 | 163 |
1 |
Prime factors of 978 are 2,3,163. Prime factorization of 978 in exponential form is:
978 = 21×31×1631
Prime Factorization of 986
2 | 986 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 986 are 2,17,29. Prime factorization of 986 in exponential form is:
986 = 21×171×291
∴ So by taking common prime factors GCF of 978 and 986 is 2
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors and prime factorization of 978 and 986. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 986 is 2.
Also check out the Least Common Multiple of 978 and 986
(i) The GCF of 978 and 986 is associative
GCF of 978 and 986 = GCF of 986 and 978
1. What is the GCF of 978 and 986?
Answer: GCF of 978 and 986 is 2.
2. What are the Factors of 978?
Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.
3. What are the Factors of 986?
Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.
4. How to Find the GCF of 978 and 986?
Answer:
Greatest Common Factor of 978 and 986 = 2
Step 1: Find the prime factorization of 978
978 = 2 x 3 x 163
Step 2: Find the prime factorization of 986
986 = 2 x 17 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 978 and 986 is 2