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 2959, 2967 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2959 and 2967 is 1.
GCF(2959,2967) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2959
11 | 2959 |
269 | 269 |
1 |
Prime factors of 2959 are 11,269. Prime factorization of 2959 in exponential form is:
2959 = 111×2691
Prime Factorization of 2967
3 | 2967 |
23 | 989 |
43 | 43 |
1 |
Prime factors of 2967 are 3,23,43. Prime factorization of 2967 in exponential form is:
2967 = 31×231×431
∴ So by taking common prime factors GCF of 2959 and 2967 is 1
Factors of 2959
List of positive integer factors of 2959 that divides 2959 without a remainder.
1,11,269,2959
Factors of 2967
List of positive integer factors of 2967 that divides 2967 without a remainder.
1,3,23,43,69,129,989,2967
Greatest Common Factor
We found the factors and prime factorization of 2959 and 2967. The biggest common factor number is the GCF number.
So the greatest common factor 2959 and 2967 is 1.
Also check out the Least Common Multiple of 2959 and 2967
(i) The GCF of 2959 and 2967 is associative
GCF of 2959 and 2967 = GCF of 2967 and 2959
1. What is the GCF of 2959 and 2967?
Answer: GCF of 2959 and 2967 is 1.
2. What are the Factors of 2959?
Answer: Factors of 2959 are 1, 11, 269, 2959. There are 4 integers that are factors of 2959. The greatest factor of 2959 is 2959.
3. What are the Factors of 2967?
Answer: Factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967. There are 8 integers that are factors of 2967. The greatest factor of 2967 is 2967.
4. How to Find the GCF of 2959 and 2967?
Answer:
Greatest Common Factor of 2959 and 2967 = 1
Step 1: Find the prime factorization of 2959
2959 = 11 x 269
Step 2: Find the prime factorization of 2967
2967 = 3 x 23 x 43
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 2959 and 2967 is 1