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 982, 985 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 982 and 985 is 1.
GCF(982,985) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 982
2 | 982 |
491 | 491 |
1 |
Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:
982 = 21×4911
Prime Factorization of 985
5 | 985 |
197 | 197 |
1 |
Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:
985 = 51×1971
∴ So by taking common prime factors GCF of 982 and 985 is 1
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors and prime factorization of 982 and 985. The biggest common factor number is the GCF number.
So the greatest common factor 982 and 985 is 1.
Also check out the Least Common Multiple of 982 and 985
(i) The GCF of 982 and 985 is associative
GCF of 982 and 985 = GCF of 985 and 982
1. What is the GCF of 982 and 985?
Answer: GCF of 982 and 985 is 1.
2. What are the Factors of 982?
Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.
3. What are the Factors of 985?
Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.
4. How to Find the GCF of 982 and 985?
Answer:
Greatest Common Factor of 982 and 985 = 1
Step 1: Find the prime factorization of 982
982 = 2 x 491
Step 2: Find the prime factorization of 985
985 = 5 x 197
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 982 and 985 is 1