Greatest Common Factor of 3612 and 3620

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 3612, 3620 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3612 and 3620 is 4.

GCF(3612,3620) = 4

GCF of 3612 and 3620

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

GCF of:
and

Greatest Common Factor of 3612 and 3620

GCF of 3612 and 3620 is 4

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

Prime Factorization of 3620


2 3620
2 1810
5 905
181 181
1

Prime factors of 3620 are 2,5,181. Prime factorization of 3620 in exponential form is:

3620 = 22×51×1811

∴ So by taking common prime factors GCF of 3612 and 3620 is 4

Greatest Common Factor of 3612 and 3620 by matching factors method

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

Factors of 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1,2,4,5,10,20,181,362,724,905,1810,3620

Greatest Common Factor

We found the factors and prime factorization of 3612 and 3620. The biggest common factor number is the GCF number.
So the greatest common factor 3612 and 3620 is 4.

Also check out the Least Common Multiple of 3612 and 3620

Properties of GCF 3612 and 3620

(i) The GCF of 3612 and 3620 is associative

GCF of 3612 and 3620 = GCF of 3620 and 3612

Related Greatest Common Factor of 3612

Related Greatest Common Factor of 3620

Frequently Asked Questions on GCF of 3612 and 3620

1. What is the GCF of 3612 and 3620?

Answer: GCF of 3612 and 3620 is 4.

2. 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.

3. What are the Factors of 3620?

Answer: Factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620. There are 12 integers that are factors of 3620. The greatest factor of 3620 is 3620.

4. How to Find the GCF of 3612 and 3620?

Answer:

Greatest Common Factor of 3612 and 3620 = 4

Step 1: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 3620

3620 = 2 x 2 x 5 x 181

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 3612 and 3620 is 4