What is the Greatest Common Factor of 4204 and 4210?

Greatest common factor (GCF) of 4204 and 4210 is 2.

GCF(4204,4210) = 2

We will now calculate the prime factors of 4204 and 4210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4204 and 4210.

How to find the GCF of 4204 and 4210?

We will first find the prime factorization of 4204 and 4210. After we will calculate the factors of 4204 and 4210 and find the biggest common factor number .

Step-1: Prime Factorization of 4204

Prime factors of 4204 are 2, 1051. Prime factorization of 4204 in exponential form is:

4204 = 2² × 1051¹

Step-2: Prime Factorization of 4210

Prime factors of 4210 are 2, 5, 421. Prime factorization of 4210 in exponential form is:

4210 = 2¹ × 5¹ × 421¹

Step-3: Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1, 2, 4, 1051, 2102

Step-4: Factors of 4210

List of positive integer factors of 4210 that divides 4204 without a remainder.

1, 2, 5, 10, 421, 842, 2105

Final Step: Biggest Common Factor Number

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