Greatest Common Factor of 3604 and 3612

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 3604, 3612 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3604 and 3612 is 4.

GCF(3604,3612) = 4

GCF of 3604 and 3612

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

GCF of:
and

Greatest Common Factor of 3604 and 3612

GCF of 3604 and 3612 is 4

Prime Factorization of 3604


2 3604
2 1802
17 901
53 53
1

Prime factors of 3604 are 2,17,53. Prime factorization of 3604 in exponential form is:

3604 = 22×171×531

Prime Factorization of 3612


2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 3612 are 2,3,7,43. Prime factorization of 3612 in exponential form is:

3612 = 22×31×71×431

∴ So by taking common prime factors GCF of 3604 and 3612 is 4

Greatest Common Factor of 3604 and 3612 by matching factors method

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1,2,4,17,34,53,68,106,212,901,1802,3604

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612

Greatest Common Factor

We found the factors and prime factorization of 3604 and 3612. The biggest common factor number is the GCF number.
So the greatest common factor 3604 and 3612 is 4.

Also check out the Least Common Multiple of 3604 and 3612

Properties of GCF 3604 and 3612

(i) The GCF of 3604 and 3612 is associative

GCF of 3604 and 3612 = GCF of 3612 and 3604

Related Greatest Common Factor of 3604

Related Greatest Common Factor of 3612

Frequently Asked Questions on GCF of 3604 and 3612

1. What is the GCF of 3604 and 3612?

Answer: GCF of 3604 and 3612 is 4.

2. What are the Factors of 3604?

Answer: Factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604. There are 12 integers that are factors of 3604. The greatest factor of 3604 is 3604.

3. What are the Factors of 3612?

Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.

4. How to Find the GCF of 3604 and 3612?

Answer:

Greatest Common Factor of 3604 and 3612 = 4

Step 1: Find the prime factorization of 3604

3604 = 2 x 2 x 17 x 53

Step 2: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

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 3604 and 3612 is 4