Greatest Common Factor of 4204 and 4212

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, 4212 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4204 and 4212 is 4.

GCF(4204,4212) = 4

GCF of 4204 and 4212

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

GCF of:
and

Greatest Common Factor of 4204 and 4212

GCF of 4204 and 4212 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 4212


2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 4212 are 2,3,13. Prime factorization of 4212 in exponential form is:

4212 = 22×34×131

∴ So by taking common prime factors GCF of 4204 and 4212 is 4

Greatest Common Factor of 4204 and 4212 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 4212

List of positive integer factors of 4212 that divides 4212 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,81,108,117,156,162,234,324,351,468,702,1053,1404,2106,4212

Greatest Common Factor

We found the factors and prime factorization of 4204 and 4212. The biggest common factor number is the GCF number.
So the greatest common factor 4204 and 4212 is 4.

Also check out the Least Common Multiple of 4204 and 4212

Properties of GCF 4204 and 4212

(i) The GCF of 4204 and 4212 is associative

GCF of 4204 and 4212 = GCF of 4212 and 4204

Related Greatest Common Factor of 4204

Related Greatest Common Factor of 4212

Frequently Asked Questions on GCF of 4204 and 4212

1. What is the GCF of 4204 and 4212?

Answer: GCF of 4204 and 4212 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 4212?

Answer: Factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212. There are 30 integers that are factors of 4212. The greatest factor of 4212 is 4212.

4. How to Find the GCF of 4204 and 4212?

Answer:

Greatest Common Factor of 4204 and 4212 = 4

Step 1: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

Step 2: Find the prime factorization of 4212

4212 = 2 x 2 x 3 x 3 x 3 x 3 x 13

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 4212 is 4