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 4734, 4742 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4734 and 4742 is 2.
GCF(4734,4742) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4734
2 | 4734 |
3 | 2367 |
3 | 789 |
263 | 263 |
1 |
Prime factors of 4734 are 2,3,263. Prime factorization of 4734 in exponential form is:
4734 = 21×32×2631
Prime Factorization of 4742
2 | 4742 |
2371 | 2371 |
1 |
Prime factors of 4742 are 2,2371. Prime factorization of 4742 in exponential form is:
4742 = 21×23711
∴ So by taking common prime factors GCF of 4734 and 4742 is 2
Factors of 4734
List of positive integer factors of 4734 that divides 4734 without a remainder.
1,2,3,6,9,18,263,526,789,1578,2367,4734
Factors of 4742
List of positive integer factors of 4742 that divides 4742 without a remainder.
1,2,2371,4742
Greatest Common Factor
We found the factors and prime factorization of 4734 and 4742. The biggest common factor number is the GCF number.
So the greatest common factor 4734 and 4742 is 2.
Also check out the Least Common Multiple of 4734 and 4742
(i) The GCF of 4734 and 4742 is associative
GCF of 4734 and 4742 = GCF of 4742 and 4734
1. What is the GCF of 4734 and 4742?
Answer: GCF of 4734 and 4742 is 2.
2. What are the Factors of 4734?
Answer: Factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734. There are 12 integers that are factors of 4734. The greatest factor of 4734 is 4734.
3. What are the Factors of 4742?
Answer: Factors of 4742 are 1, 2, 2371, 4742. There are 4 integers that are factors of 4742. The greatest factor of 4742 is 4742.
4. How to Find the GCF of 4734 and 4742?
Answer:
Greatest Common Factor of 4734 and 4742 = 2
Step 1: Find the prime factorization of 4734
4734 = 2 x 3 x 3 x 263
Step 2: Find the prime factorization of 4742
4742 = 2 x 2371
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 4734 and 4742 is 2