Greatest Common Factor of 3644 and 3650

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 3644, 3650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3644 and 3650 is 2.

GCF(3644,3650) = 2

GCF of 3644 and 3650

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

GCF of:
and

Greatest Common Factor of 3644 and 3650

GCF of 3644 and 3650 is 2

Prime Factorization of 3644


2 3644
2 1822
911 911
1

Prime factors of 3644 are 2,911. Prime factorization of 3644 in exponential form is:

3644 = 22×9111

Prime Factorization of 3650


2 3650
5 1825
5 365
73 73
1

Prime factors of 3650 are 2,5,73. Prime factorization of 3650 in exponential form is:

3650 = 21×52×731

∴ So by taking common prime factors GCF of 3644 and 3650 is 2

Greatest Common Factor of 3644 and 3650 by matching factors method

Factors of 3644

List of positive integer factors of 3644 that divides 3644 without a remainder.

1,2,4,911,1822,3644

Factors of 3650

List of positive integer factors of 3650 that divides 3650 without a remainder.

1,2,5,10,25,50,73,146,365,730,1825,3650

Greatest Common Factor

We found the factors and prime factorization of 3644 and 3650. The biggest common factor number is the GCF number.
So the greatest common factor 3644 and 3650 is 2.

Also check out the Least Common Multiple of 3644 and 3650

Properties of GCF 3644 and 3650

(i) The GCF of 3644 and 3650 is associative

GCF of 3644 and 3650 = GCF of 3650 and 3644

Related Greatest Common Factor of 3644

Related Greatest Common Factor of 3650

Frequently Asked Questions on GCF of 3644 and 3650

1. What is the GCF of 3644 and 3650?

Answer: GCF of 3644 and 3650 is 2.

2. What are the Factors of 3644?

Answer: Factors of 3644 are 1, 2, 4, 911, 1822, 3644. There are 6 integers that are factors of 3644. The greatest factor of 3644 is 3644.

3. What are the Factors of 3650?

Answer: Factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650. There are 12 integers that are factors of 3650. The greatest factor of 3650 is 3650.

4. How to Find the GCF of 3644 and 3650?

Answer:

Greatest Common Factor of 3644 and 3650 = 2

Step 1: Find the prime factorization of 3644

3644 = 2 x 2 x 911

Step 2: Find the prime factorization of 3650

3650 = 2 x 5 x 5 x 73

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 3644 and 3650 is 2