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 4292, 4298 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4292 and 4298 is 2.
GCF(4292,4298) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4292
2 | 4292 |
2 | 2146 |
29 | 1073 |
37 | 37 |
1 |
Prime factors of 4292 are 2,29,37. Prime factorization of 4292 in exponential form is:
4292 = 22×291×371
Prime Factorization of 4298
2 | 4298 |
7 | 2149 |
307 | 307 |
1 |
Prime factors of 4298 are 2,7,307. Prime factorization of 4298 in exponential form is:
4298 = 21×71×3071
∴ So by taking common prime factors GCF of 4292 and 4298 is 2
Factors of 4292
List of positive integer factors of 4292 that divides 4292 without a remainder.
1,2,4,29,37,58,74,116,148,1073,2146,4292
Factors of 4298
List of positive integer factors of 4298 that divides 4298 without a remainder.
1,2,7,14,307,614,2149,4298
Greatest Common Factor
We found the factors and prime factorization of 4292 and 4298. The biggest common factor number is the GCF number.
So the greatest common factor 4292 and 4298 is 2.
Also check out the Least Common Multiple of 4292 and 4298
(i) The GCF of 4292 and 4298 is associative
GCF of 4292 and 4298 = GCF of 4298 and 4292
1. What is the GCF of 4292 and 4298?
Answer: GCF of 4292 and 4298 is 2.
2. What are the Factors of 4292?
Answer: Factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292. There are 12 integers that are factors of 4292. The greatest factor of 4292 is 4292.
3. What are the Factors of 4298?
Answer: Factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298. There are 8 integers that are factors of 4298. The greatest factor of 4298 is 4298.
4. How to Find the GCF of 4292 and 4298?
Answer:
Greatest Common Factor of 4292 and 4298 = 2
Step 1: Find the prime factorization of 4292
4292 = 2 x 2 x 29 x 37
Step 2: Find the prime factorization of 4298
4298 = 2 x 7 x 307
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 4292 and 4298 is 2