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, 4300 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4292 and 4300 is 4.
GCF(4292,4300) = 4
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 4300
2 | 4300 |
2 | 2150 |
5 | 1075 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 4300 are 2,5,43. Prime factorization of 4300 in exponential form is:
4300 = 22×52×431
∴ So by taking common prime factors GCF of 4292 and 4300 is 4
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 4300
List of positive integer factors of 4300 that divides 4300 without a remainder.
1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Greatest Common Factor
We found the factors and prime factorization of 4292 and 4300. The biggest common factor number is the GCF number.
So the greatest common factor 4292 and 4300 is 4.
Also check out the Least Common Multiple of 4292 and 4300
(i) The GCF of 4292 and 4300 is associative
GCF of 4292 and 4300 = GCF of 4300 and 4292
1. What is the GCF of 4292 and 4300?
Answer: GCF of 4292 and 4300 is 4.
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 4300?
Answer: Factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300. There are 18 integers that are factors of 4300. The greatest factor of 4300 is 4300.
4. How to Find the GCF of 4292 and 4300?
Answer:
Greatest Common Factor of 4292 and 4300 = 4
Step 1: Find the prime factorization of 4292
4292 = 2 x 2 x 29 x 37
Step 2: Find the prime factorization of 4300
4300 = 2 x 2 x 5 x 5 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4292 and 4300 is 4