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 965, 971 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 965 and 971 is 1.
GCF(965,971) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 965
5 | 965 |
193 | 193 |
1 |
Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:
965 = 51×1931
Prime Factorization of 971
971 | 971 |
1 |
Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:
971 = 9711
∴ So by taking common prime factors GCF of 965 and 971 is 1
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors and prime factorization of 965 and 971. The biggest common factor number is the GCF number.
So the greatest common factor 965 and 971 is 1.
Also check out the Least Common Multiple of 965 and 971
(i) The GCF of 965 and 971 is associative
GCF of 965 and 971 = GCF of 971 and 965
1. What is the GCF of 965 and 971?
Answer: GCF of 965 and 971 is 1.
2. What are the Factors of 965?
Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.
3. 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.
4. How to Find the GCF of 965 and 971?
Answer:
Greatest Common Factor of 965 and 971 = 1
Step 1: Find the prime factorization of 965
965 = 5 x 193
Step 2: Find the prime factorization of 971
971 = 971
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 965 and 971 is 1