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 971, 973 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 971 and 973 is 1.
GCF(971,973) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 971
971 | 971 |
1 |
Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:
971 = 9711
Prime Factorization of 973
7 | 973 |
139 | 139 |
1 |
Prime factors of 973 are 7.Prime factorization of 973 in exponential form is:
973 = 71×1391
∴ So by taking common prime factors GCF of 971 and 973 is 1
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors and prime factorization of 971 and 973. The biggest common factor number is the GCF number.
So the greatest common factor 971 and 973 is 1.
Also check out the Least Common Multiple of 971 and 973
(i) The GCF of 971 and 973 is associative
GCF of 971 and 973 = GCF of 973 and 971
1. What is the GCF of 971 and 973?
Answer: GCF of 971 and 973 is 1.
2. What are the Factors of 971?
Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.
3. What are the Factors of 973?
Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.
4. How to Find the GCF of 971 and 973?
Answer:
Greatest Common Factor of 971 and 973 = 1
Step 1: Find the prime factorization of 971
971 = 971
Step 2: Find the prime factorization of 973
973 = 7 x 139
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 971 and 973 is 1