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 4204, 4210 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4204 and 4210 is 2.
GCF(4204,4210) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4204
2 | 4204 |
2 | 2102 |
1051 | 1051 |
1 |
Prime factors of 4204 are 2,1051. Prime factorization of 4204 in exponential form is:
4204 = 22×10511
Prime Factorization of 4210
2 | 4210 |
5 | 2105 |
421 | 421 |
1 |
Prime factors of 4210 are 2,5,421. Prime factorization of 4210 in exponential form is:
4210 = 21×51×4211
∴ So by taking common prime factors GCF of 4204 and 4210 is 2
Factors of 4204
List of positive integer factors of 4204 that divides 4204 without a remainder.
1,2,4,1051,2102,4204
Factors of 4210
List of positive integer factors of 4210 that divides 4210 without a remainder.
1,2,5,10,421,842,2105,4210
Greatest Common Factor
We found the factors and prime factorization of 4204 and 4210. The biggest common factor number is the GCF number.
So the greatest common factor 4204 and 4210 is 2.
Also check out the Least Common Multiple of 4204 and 4210
(i) The GCF of 4204 and 4210 is associative
GCF of 4204 and 4210 = GCF of 4210 and 4204
1. What is the GCF of 4204 and 4210?
Answer: GCF of 4204 and 4210 is 2.
2. What are the Factors of 4204?
Answer: Factors of 4204 are 1, 2, 4, 1051, 2102, 4204. There are 6 integers that are factors of 4204. The greatest factor of 4204 is 4204.
3. What are the Factors of 4210?
Answer: Factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210. There are 8 integers that are factors of 4210. The greatest factor of 4210 is 4210.
4. How to Find the GCF of 4204 and 4210?
Answer:
Greatest Common Factor of 4204 and 4210 = 2
Step 1: Find the prime factorization of 4204
4204 = 2 x 2 x 1051
Step 2: Find the prime factorization of 4210
4210 = 2 x 5 x 421
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 4204 and 4210 is 2