Greatest Common Factor of 3628 and 3634

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

Greatest common factor (GCF) of 3628 and 3634 is 2.

GCF(3628,3634) = 2

GCF of 3628 and 3634

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

GCF of:
and

Greatest Common Factor of 3628 and 3634

GCF of 3628 and 3634 is 2

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 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

∴ So by taking common prime factors GCF of 3628 and 3634 is 2

Greatest Common Factor of 3628 and 3634 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 3634

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

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

Greatest Common Factor

We found the factors and prime factorization of 3628 and 3634. The biggest common factor number is the GCF number.
So the greatest common factor 3628 and 3634 is 2.

Also check out the Least Common Multiple of 3628 and 3634

Properties of GCF 3628 and 3634

(i) The GCF of 3628 and 3634 is associative

GCF of 3628 and 3634 = GCF of 3634 and 3628

Related Greatest Common Factor of 3628

Related Greatest Common Factor of 3634

Frequently Asked Questions on GCF of 3628 and 3634

1. What is the GCF of 3628 and 3634?

Answer: GCF of 3628 and 3634 is 2.

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 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.

4. How to Find the GCF of 3628 and 3634?

Answer:

Greatest Common Factor of 3628 and 3634 = 2

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3634

3634 = 2 x 23 x 79

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 3628 and 3634 is 2