Greatest Common Factor of 4204 and 4208

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, 4208 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4204 and 4208 is 4.

GCF(4204,4208) = 4

GCF of 4204 and 4208

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

GCF of:
and

Greatest Common Factor of 4204 and 4208

GCF of 4204 and 4208 is 4

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 4208


2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 4208 are 2,263. Prime factorization of 4208 in exponential form is:

4208 = 24×2631

∴ So by taking common prime factors GCF of 4204 and 4208 is 4

Greatest Common Factor of 4204 and 4208 by matching factors method

Factors of 4204

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

1,2,4,1051,2102,4204

Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1,2,4,8,16,263,526,1052,2104,4208

Greatest Common Factor

We found the factors and prime factorization of 4204 and 4208. The biggest common factor number is the GCF number.
So the greatest common factor 4204 and 4208 is 4.

Also check out the Least Common Multiple of 4204 and 4208

Properties of GCF 4204 and 4208

(i) The GCF of 4204 and 4208 is associative

GCF of 4204 and 4208 = GCF of 4208 and 4204

Related Greatest Common Factor of 4204

Related Greatest Common Factor of 4208

Frequently Asked Questions on GCF of 4204 and 4208

1. What is the GCF of 4204 and 4208?

Answer: GCF of 4204 and 4208 is 4.

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 4208?

Answer: Factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208. There are 10 integers that are factors of 4208. The greatest factor of 4208 is 4208.

4. How to Find the GCF of 4204 and 4208?

Answer:

Greatest Common Factor of 4204 and 4208 = 4

Step 1: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

Step 2: Find the prime factorization of 4208

4208 = 2 x 2 x 2 x 2 x 263

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 4204 and 4208 is 4