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, 970 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 965 and 970 is 5.
GCF(965,970) = 5
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 970
2 | 970 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 970 are 2,5,97. Prime factorization of 970 in exponential form is:
970 = 21×51×971
∴ So by taking common prime factors GCF of 965 and 970 is 5
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors and prime factorization of 965 and 970. The biggest common factor number is the GCF number.
So the greatest common factor 965 and 970 is 5.
Also check out the Least Common Multiple of 965 and 970
(i) The GCF of 965 and 970 is associative
GCF of 965 and 970 = GCF of 970 and 965
1. What is the GCF of 965 and 970?
Answer: GCF of 965 and 970 is 5.
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 970?
Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.
4. How to Find the GCF of 965 and 970?
Answer:
Greatest Common Factor of 965 and 970 = 5
Step 1: Find the prime factorization of 965
965 = 5 x 193
Step 2: Find the prime factorization of 970
970 = 2 x 5 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 965 and 970 is 5