Greatest Common Factor of 7204 and 7212

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 7204, 7212 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7204 and 7212 is 4.

GCF(7204,7212) = 4

GCF of 7204 and 7212

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

GCF of:
and

Greatest Common Factor of 7204 and 7212

GCF of 7204 and 7212 is 4

Prime Factorization of 7204


2 7204
2 3602
1801 1801
1

Prime factors of 7204 are 2,1801. Prime factorization of 7204 in exponential form is:

7204 = 22×18011

Prime Factorization of 7212


2 7212
2 3606
3 1803
601 601
1

Prime factors of 7212 are 2,3,601. Prime factorization of 7212 in exponential form is:

7212 = 22×31×6011

∴ So by taking common prime factors GCF of 7204 and 7212 is 4

Greatest Common Factor of 7204 and 7212 by matching factors method

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Factors of 7212

List of positive integer factors of 7212 that divides 7212 without a remainder.

1,2,3,4,6,12,601,1202,1803,2404,3606,7212

Greatest Common Factor

We found the factors and prime factorization of 7204 and 7212. The biggest common factor number is the GCF number.
So the greatest common factor 7204 and 7212 is 4.

Also check out the Least Common Multiple of 7204 and 7212

Properties of GCF 7204 and 7212

(i) The GCF of 7204 and 7212 is associative

GCF of 7204 and 7212 = GCF of 7212 and 7204

Related Greatest Common Factor of 7204

Related Greatest Common Factor of 7212

Frequently Asked Questions on GCF of 7204 and 7212

1. What is the GCF of 7204 and 7212?

Answer: GCF of 7204 and 7212 is 4.

2. What are the Factors of 7204?

Answer: Factors of 7204 are 1, 2, 4, 1801, 3602, 7204. There are 6 integers that are factors of 7204. The greatest factor of 7204 is 7204.

3. What are the Factors of 7212?

Answer: Factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212. There are 12 integers that are factors of 7212. The greatest factor of 7212 is 7212.

4. How to Find the GCF of 7204 and 7212?

Answer:

Greatest Common Factor of 7204 and 7212 = 4

Step 1: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

Step 2: Find the prime factorization of 7212

7212 = 2 x 2 x 3 x 601

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 7204 and 7212 is 4