Greatest Common Factor of 3628 and 3636

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 3628, 3636 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3628 and 3636 is 4.

GCF(3628,3636) = 4

GCF of 3628 and 3636

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

GCF of:
and

Greatest Common Factor of 3628 and 3636

GCF of 3628 and 3636 is 4

Prime Factorization of 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

Prime Factorization of 3636


2 3636
2 1818
3 909
3 303
101 101
1

Prime factors of 3636 are 2,3,101. Prime factorization of 3636 in exponential form is:

3636 = 22×32×1011

∴ So by taking common prime factors GCF of 3628 and 3636 is 4

Greatest Common Factor of 3628 and 3636 by matching factors method

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1,2,4,907,1814,3628

Factors of 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636

Greatest Common Factor

We found the factors and prime factorization of 3628 and 3636. The biggest common factor number is the GCF number.
So the greatest common factor 3628 and 3636 is 4.

Also check out the Least Common Multiple of 3628 and 3636

Properties of GCF 3628 and 3636

(i) The GCF of 3628 and 3636 is associative

GCF of 3628 and 3636 = GCF of 3636 and 3628

Related Greatest Common Factor of 3628

Related Greatest Common Factor of 3636

Frequently Asked Questions on GCF of 3628 and 3636

1. What is the GCF of 3628 and 3636?

Answer: GCF of 3628 and 3636 is 4.

2. What are the Factors of 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

3. What are the Factors of 3636?

Answer: Factors of 3636 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636. There are 18 integers that are factors of 3636. The greatest factor of 3636 is 3636.

4. How to Find the GCF of 3628 and 3636?

Answer:

Greatest Common Factor of 3628 and 3636 = 4

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3636

3636 = 2 x 2 x 3 x 3 x 101

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 3628 and 3636 is 4