Greatest Common Factor of 3646 and 3652

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 3646, 3652 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3646 and 3652 is 2.

GCF(3646,3652) = 2

GCF of 3646 and 3652

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

GCF of:
and

Greatest Common Factor of 3646 and 3652

GCF of 3646 and 3652 is 2

Prime Factorization of 3646


2 3646
1823 1823
1

Prime factors of 3646 are 2,1823. Prime factorization of 3646 in exponential form is:

3646 = 21×18231

Prime Factorization of 3652


2 3652
2 1826
11 913
83 83
1

Prime factors of 3652 are 2,11,83. Prime factorization of 3652 in exponential form is:

3652 = 22×111×831

∴ So by taking common prime factors GCF of 3646 and 3652 is 2

Greatest Common Factor of 3646 and 3652 by matching factors method

Factors of 3646

List of positive integer factors of 3646 that divides 3646 without a remainder.

1,2,1823,3646

Factors of 3652

List of positive integer factors of 3652 that divides 3652 without a remainder.

1,2,4,11,22,44,83,166,332,913,1826,3652

Greatest Common Factor

We found the factors and prime factorization of 3646 and 3652. The biggest common factor number is the GCF number.
So the greatest common factor 3646 and 3652 is 2.

Also check out the Least Common Multiple of 3646 and 3652

Properties of GCF 3646 and 3652

(i) The GCF of 3646 and 3652 is associative

GCF of 3646 and 3652 = GCF of 3652 and 3646

Related Greatest Common Factor of 3646

Related Greatest Common Factor of 3652

Frequently Asked Questions on GCF of 3646 and 3652

1. What is the GCF of 3646 and 3652?

Answer: GCF of 3646 and 3652 is 2.

2. What are the Factors of 3646?

Answer: Factors of 3646 are 1, 2, 1823, 3646. There are 4 integers that are factors of 3646. The greatest factor of 3646 is 3646.

3. What are the Factors of 3652?

Answer: Factors of 3652 are 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652. There are 12 integers that are factors of 3652. The greatest factor of 3652 is 3652.

4. How to Find the GCF of 3646 and 3652?

Answer:

Greatest Common Factor of 3646 and 3652 = 2

Step 1: Find the prime factorization of 3646

3646 = 2 x 1823

Step 2: Find the prime factorization of 3652

3652 = 2 x 2 x 11 x 83

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 3646 and 3652 is 2