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 4690, 4694 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4690 and 4694 is 2.
GCF(4690,4694) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4690
2 | 4690 |
5 | 2345 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 4690 are 2,5,7,67. Prime factorization of 4690 in exponential form is:
4690 = 21×51×71×671
Prime Factorization of 4694
2 | 4694 |
2347 | 2347 |
1 |
Prime factors of 4694 are 2,2347. Prime factorization of 4694 in exponential form is:
4694 = 21×23471
∴ So by taking common prime factors GCF of 4690 and 4694 is 2
Factors of 4690
List of positive integer factors of 4690 that divides 4690 without a remainder.
1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690
Factors of 4694
List of positive integer factors of 4694 that divides 4694 without a remainder.
1,2,2347,4694
Greatest Common Factor
We found the factors and prime factorization of 4690 and 4694. The biggest common factor number is the GCF number.
So the greatest common factor 4690 and 4694 is 2.
Also check out the Least Common Multiple of 4690 and 4694
(i) The GCF of 4690 and 4694 is associative
GCF of 4690 and 4694 = GCF of 4694 and 4690
1. What is the GCF of 4690 and 4694?
Answer: GCF of 4690 and 4694 is 2.
2. What are the Factors of 4690?
Answer: Factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690. There are 16 integers that are factors of 4690. The greatest factor of 4690 is 4690.
3. What are the Factors of 4694?
Answer: Factors of 4694 are 1, 2, 2347, 4694. There are 4 integers that are factors of 4694. The greatest factor of 4694 is 4694.
4. How to Find the GCF of 4690 and 4694?
Answer:
Greatest Common Factor of 4690 and 4694 = 2
Step 1: Find the prime factorization of 4690
4690 = 2 x 5 x 7 x 67
Step 2: Find the prime factorization of 4694
4694 = 2 x 2347
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 4690 and 4694 is 2