Greatest Common Factor of 3634 and 3638

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 3634, 3638 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3634 and 3638 is 2.

GCF(3634,3638) = 2

GCF of 3634 and 3638

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

GCF of:
and

Greatest Common Factor of 3634 and 3638

GCF of 3634 and 3638 is 2

Prime Factorization of 3634


2 3634
23 1817
79 79
1

Prime factors of 3634 are 2,23,79. Prime factorization of 3634 in exponential form is:

3634 = 21×231×791

Prime Factorization of 3638


2 3638
17 1819
107 107
1

Prime factors of 3638 are 2,17,107. Prime factorization of 3638 in exponential form is:

3638 = 21×171×1071

∴ So by taking common prime factors GCF of 3634 and 3638 is 2

Greatest Common Factor of 3634 and 3638 by matching factors method

Factors of 3634

List of positive integer factors of 3634 that divides 3634 without a remainder.

1,2,23,46,79,158,1817,3634

Factors of 3638

List of positive integer factors of 3638 that divides 3638 without a remainder.

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors and prime factorization of 3634 and 3638. The biggest common factor number is the GCF number.
So the greatest common factor 3634 and 3638 is 2.

Also check out the Least Common Multiple of 3634 and 3638

Properties of GCF 3634 and 3638

(i) The GCF of 3634 and 3638 is associative

GCF of 3634 and 3638 = GCF of 3638 and 3634

Related Greatest Common Factor of 3634

Related Greatest Common Factor of 3638

Frequently Asked Questions on GCF of 3634 and 3638

1. What is the GCF of 3634 and 3638?

Answer: GCF of 3634 and 3638 is 2.

2. What are the Factors of 3634?

Answer: Factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634. There are 8 integers that are factors of 3634. The greatest factor of 3634 is 3634.

3. What are the Factors of 3638?

Answer: Factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638. There are 8 integers that are factors of 3638. The greatest factor of 3638 is 3638.

4. How to Find the GCF of 3634 and 3638?

Answer:

Greatest Common Factor of 3634 and 3638 = 2

Step 1: Find the prime factorization of 3634

3634 = 2 x 23 x 79

Step 2: Find the prime factorization of 3638

3638 = 2 x 17 x 107

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 3634 and 3638 is 2