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 9971, 9977 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9971 and 9977 is 1.
GCF(9971,9977) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9971
13 | 9971 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 9971 are 13,59. Prime factorization of 9971 in exponential form is:
9971 = 132×591
Prime Factorization of 9977
11 | 9977 |
907 | 907 |
1 |
Prime factors of 9977 are 11,907. Prime factorization of 9977 in exponential form is:
9977 = 111×9071
∴ So by taking common prime factors GCF of 9971 and 9977 is 1
Factors of 9971
List of positive integer factors of 9971 that divides 9971 without a remainder.
1,13,59,169,767,9971
Factors of 9977
List of positive integer factors of 9977 that divides 9977 without a remainder.
1,11,907,9977
Greatest Common Factor
We found the factors and prime factorization of 9971 and 9977. The biggest common factor number is the GCF number.
So the greatest common factor 9971 and 9977 is 1.
Also check out the Least Common Multiple of 9971 and 9977
(i) The GCF of 9971 and 9977 is associative
GCF of 9971 and 9977 = GCF of 9977 and 9971
1. What is the GCF of 9971 and 9977?
Answer: GCF of 9971 and 9977 is 1.
2. What are the Factors of 9971?
Answer: Factors of 9971 are 1, 13, 59, 169, 767, 9971. There are 6 integers that are factors of 9971. The greatest factor of 9971 is 9971.
3. What are the Factors of 9977?
Answer: Factors of 9977 are 1, 11, 907, 9977. There are 4 integers that are factors of 9977. The greatest factor of 9977 is 9977.
4. How to Find the GCF of 9971 and 9977?
Answer:
Greatest Common Factor of 9971 and 9977 = 1
Step 1: Find the prime factorization of 9971
9971 = 13 x 13 x 59
Step 2: Find the prime factorization of 9977
9977 = 11 x 907
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 9971 and 9977 is 1