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 2907, 2914 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2907 and 2914 is 1.
GCF(2907,2914) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2907
3 | 2907 |
3 | 969 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 2907 are 3,17,19. Prime factorization of 2907 in exponential form is:
2907 = 32×171×191
Prime Factorization of 2914
2 | 2914 |
31 | 1457 |
47 | 47 |
1 |
Prime factors of 2914 are 2,31,47. Prime factorization of 2914 in exponential form is:
2914 = 21×311×471
∴ So by taking common prime factors GCF of 2907 and 2914 is 1
Factors of 2907
List of positive integer factors of 2907 that divides 2907 without a remainder.
1,3,9,17,19,51,57,153,171,323,969,2907
Factors of 2914
List of positive integer factors of 2914 that divides 2914 without a remainder.
1,2,31,47,62,94,1457,2914
Greatest Common Factor
We found the factors and prime factorization of 2907 and 2914. The biggest common factor number is the GCF number.
So the greatest common factor 2907 and 2914 is 1.
Also check out the Least Common Multiple of 2907 and 2914
(i) The GCF of 2907 and 2914 is associative
GCF of 2907 and 2914 = GCF of 2914 and 2907
1. What is the GCF of 2907 and 2914?
Answer: GCF of 2907 and 2914 is 1.
2. What are the Factors of 2907?
Answer: Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907. There are 12 integers that are factors of 2907. The greatest factor of 2907 is 2907.
3. What are the Factors of 2914?
Answer: Factors of 2914 are 1, 2, 31, 47, 62, 94, 1457, 2914. There are 8 integers that are factors of 2914. The greatest factor of 2914 is 2914.
4. How to Find the GCF of 2907 and 2914?
Answer:
Greatest Common Factor of 2907 and 2914 = 1
Step 1: Find the prime factorization of 2907
2907 = 3 x 3 x 17 x 19
Step 2: Find the prime factorization of 2914
2914 = 2 x 31 x 47
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 2907 and 2914 is 1