Greatest Common Factor of 3605 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 3605, 3612 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3605 and 3612 is 7.

GCF(3605,3612) = 7

GCF of 3605 and 3612

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

GCF of:
and

Greatest Common Factor of 3605 and 3612

GCF of 3605 and 3612 is 7

Prime Factorization of 3605


5 3605
7 721
103 103
1

Prime factors of 3605 are 5,7,103. Prime factorization of 3605 in exponential form is:

3605 = 51×71×1031

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 3605 and 3612 is 7

Greatest Common Factor of 3605 and 3612 by matching factors method

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1,5,7,35,103,515,721,3605

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 3605 and 3612. The biggest common factor number is the GCF number.
So the greatest common factor 3605 and 3612 is 7.

Also check out the Least Common Multiple of 3605 and 3612

Properties of GCF 3605 and 3612

(i) The GCF of 3605 and 3612 is associative

GCF of 3605 and 3612 = GCF of 3612 and 3605

Related Greatest Common Factor of 3605

Related Greatest Common Factor of 3612

Frequently Asked Questions on GCF of 3605 and 3612

1. What is the GCF of 3605 and 3612?

Answer: GCF of 3605 and 3612 is 7.

2. What are the Factors of 3605?

Answer: Factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605. There are 8 integers that are factors of 3605. The greatest factor of 3605 is 3605.

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 3605 and 3612?

Answer:

Greatest Common Factor of 3605 and 3612 = 7

Step 1: Find the prime factorization of 3605

3605 = 5 x 7 x 103

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 = 7

Step 4: Therefore, the greatest common factor of 3605 and 3612 is 7