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 2901, 2909 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2901 and 2909 is 1.
GCF(2901,2909) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2901
3 | 2901 |
967 | 967 |
1 |
Prime factors of 2901 are 3,967. Prime factorization of 2901 in exponential form is:
2901 = 31×9671
Prime Factorization of 2909
2909 | 2909 |
1 |
Prime factors of 2909 are 2909. Prime factorization of 2909 in exponential form is:
2909 = 29091
∴ So by taking common prime factors GCF of 2901 and 2909 is 1
Factors of 2901
List of positive integer factors of 2901 that divides 2901 without a remainder.
1,3,967,2901
Factors of 2909
List of positive integer factors of 2909 that divides 2909 without a remainder.
1,2909
Greatest Common Factor
We found the factors and prime factorization of 2901 and 2909. The biggest common factor number is the GCF number.
So the greatest common factor 2901 and 2909 is 1.
Also check out the Least Common Multiple of 2901 and 2909
(i) The GCF of 2901 and 2909 is associative
GCF of 2901 and 2909 = GCF of 2909 and 2901
1. What is the GCF of 2901 and 2909?
Answer: GCF of 2901 and 2909 is 1.
2. What are the Factors of 2901?
Answer: Factors of 2901 are 1, 3, 967, 2901. There are 4 integers that are factors of 2901. The greatest factor of 2901 is 2901.
3. What are the Factors of 2909?
Answer: Factors of 2909 are 1, 2909. There are 2 integers that are factors of 2909. The greatest factor of 2909 is 2909.
4. How to Find the GCF of 2901 and 2909?
Answer:
Greatest Common Factor of 2901 and 2909 = 1
Step 1: Find the prime factorization of 2901
2901 = 3 x 967
Step 2: Find the prime factorization of 2909
2909 = 2909
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 2901 and 2909 is 1