Greatest Common Factor of 3610 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 3610, 3612 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3610 and 3612 is 2.

GCF(3610,3612) = 2

GCF of 3610 and 3612

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

GCF of:
and

Greatest Common Factor of 3610 and 3612

GCF of 3610 and 3612 is 2

Prime Factorization of 3610


2 3610
5 1805
19 361
19 19
1

Prime factors of 3610 are 2,5,19. Prime factorization of 3610 in exponential form is:

3610 = 21×51×192

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 3610 and 3612 is 2

Greatest Common Factor of 3610 and 3612 by matching factors method

Factors of 3610

List of positive integer factors of 3610 that divides 3610 without a remainder.

1,2,5,10,19,38,95,190,361,722,1805,3610

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 3610 and 3612. The biggest common factor number is the GCF number.
So the greatest common factor 3610 and 3612 is 2.

Also check out the Least Common Multiple of 3610 and 3612

Properties of GCF 3610 and 3612

(i) The GCF of 3610 and 3612 is associative

GCF of 3610 and 3612 = GCF of 3612 and 3610

Related Greatest Common Factor of 3610

Related Greatest Common Factor of 3612

Frequently Asked Questions on GCF of 3610 and 3612

1. What is the GCF of 3610 and 3612?

Answer: GCF of 3610 and 3612 is 2.

2. What are the Factors of 3610?

Answer: Factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610. There are 12 integers that are factors of 3610. The greatest factor of 3610 is 3610.

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 3610 and 3612?

Answer:

Greatest Common Factor of 3610 and 3612 = 2

Step 1: Find the prime factorization of 3610

3610 = 2 x 5 x 19 x 19

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

Step 4: Therefore, the greatest common factor of 3610 and 3612 is 2