Greatest Common Factor of 4205 and 4210

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 4205, 4210 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4205 and 4210 is 5.

GCF(4205,4210) = 5

GCF of 4205 and 4210

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4205 and 4210

GCF of 4205 and 4210 is 5

Prime Factorization of 4205


5 4205
29 841
29 29
1

Prime factors of 4205 are 5,29. Prime factorization of 4205 in exponential form is:

4205 = 51×292

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 4205 and 4210 is 5

Greatest Common Factor of 4205 and 4210 by matching factors method

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1,5,29,145,841,4205

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 4205 and 4210. The biggest common factor number is the GCF number.
So the greatest common factor 4205 and 4210 is 5.

Also check out the Least Common Multiple of 4205 and 4210

Properties of GCF 4205 and 4210

(i) The GCF of 4205 and 4210 is associative

GCF of 4205 and 4210 = GCF of 4210 and 4205

Related Greatest Common Factor of 4205

Related Greatest Common Factor of 4210

Frequently Asked Questions on GCF of 4205 and 4210

1. What is the GCF of 4205 and 4210?

Answer: GCF of 4205 and 4210 is 5.

2. What are the Factors of 4205?

Answer: Factors of 4205 are 1, 5, 29, 145, 841, 4205. There are 6 integers that are factors of 4205. The greatest factor of 4205 is 4205.

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 4205 and 4210?

Answer:

Greatest Common Factor of 4205 and 4210 = 5

Step 1: Find the prime factorization of 4205

4205 = 5 x 29 x 29

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 = 5

Step 4: Therefore, the greatest common factor of 4205 and 4210 is 5