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 2934, 2942 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2934 and 2942 is 2.
GCF(2934,2942) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2934
2 | 2934 |
3 | 1467 |
3 | 489 |
163 | 163 |
1 |
Prime factors of 2934 are 2,3,163. Prime factorization of 2934 in exponential form is:
2934 = 21×32×1631
Prime Factorization of 2942
2 | 2942 |
1471 | 1471 |
1 |
Prime factors of 2942 are 2,1471. Prime factorization of 2942 in exponential form is:
2942 = 21×14711
∴ So by taking common prime factors GCF of 2934 and 2942 is 2
Factors of 2934
List of positive integer factors of 2934 that divides 2934 without a remainder.
1,2,3,6,9,18,163,326,489,978,1467,2934
Factors of 2942
List of positive integer factors of 2942 that divides 2942 without a remainder.
1,2,1471,2942
Greatest Common Factor
We found the factors and prime factorization of 2934 and 2942. The biggest common factor number is the GCF number.
So the greatest common factor 2934 and 2942 is 2.
Also check out the Least Common Multiple of 2934 and 2942
(i) The GCF of 2934 and 2942 is associative
GCF of 2934 and 2942 = GCF of 2942 and 2934
1. What is the GCF of 2934 and 2942?
Answer: GCF of 2934 and 2942 is 2.
2. What are the Factors of 2934?
Answer: Factors of 2934 are 1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934. There are 12 integers that are factors of 2934. The greatest factor of 2934 is 2934.
3. What are the Factors of 2942?
Answer: Factors of 2942 are 1, 2, 1471, 2942. There are 4 integers that are factors of 2942. The greatest factor of 2942 is 2942.
4. How to Find the GCF of 2934 and 2942?
Answer:
Greatest Common Factor of 2934 and 2942 = 2
Step 1: Find the prime factorization of 2934
2934 = 2 x 3 x 3 x 163
Step 2: Find the prime factorization of 2942
2942 = 2 x 1471
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2934 and 2942 is 2