Greatest Common Factor of 3610 and 3618

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, 3618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3610 and 3618 is 2.

GCF(3610,3618) = 2

GCF of 3610 and 3618

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

GCF of:
and

Greatest Common Factor of 3610 and 3618

GCF of 3610 and 3618 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 3618


2 3618
3 1809
3 603
3 201
67 67
1

Prime factors of 3618 are 2,3,67. Prime factorization of 3618 in exponential form is:

3618 = 21×33×671

∴ So by taking common prime factors GCF of 3610 and 3618 is 2

Greatest Common Factor of 3610 and 3618 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 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Greatest Common Factor

We found the factors and prime factorization of 3610 and 3618. The biggest common factor number is the GCF number.
So the greatest common factor 3610 and 3618 is 2.

Also check out the Least Common Multiple of 3610 and 3618

Properties of GCF 3610 and 3618

(i) The GCF of 3610 and 3618 is associative

GCF of 3610 and 3618 = GCF of 3618 and 3610

Related Greatest Common Factor of 3610

Related Greatest Common Factor of 3618

Frequently Asked Questions on GCF of 3610 and 3618

1. What is the GCF of 3610 and 3618?

Answer: GCF of 3610 and 3618 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 3618?

Answer: Factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618. There are 16 integers that are factors of 3618. The greatest factor of 3618 is 3618.

4. How to Find the GCF of 3610 and 3618?

Answer:

Greatest Common Factor of 3610 and 3618 = 2

Step 1: Find the prime factorization of 3610

3610 = 2 x 5 x 19 x 19

Step 2: Find the prime factorization of 3618

3618 = 2 x 3 x 3 x 3 x 67

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 3618 is 2