Greatest Common Factor of 3642 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 3642, 3650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3642 and 3650 is 2.

GCF(3642,3650) = 2

GCF of 3642 and 3650

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

GCF of:
and

Greatest Common Factor of 3642 and 3650

GCF of 3642 and 3650 is 2

Prime Factorization of 3642


2 3642
3 1821
607 607
1

Prime factors of 3642 are 2,3,607. Prime factorization of 3642 in exponential form is:

3642 = 21×31×6071

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 3642 and 3650 is 2

Greatest Common Factor of 3642 and 3650 by matching factors method

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1,2,3,6,607,1214,1821,3642

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 3642 and 3650. The biggest common factor number is the GCF number.
So the greatest common factor 3642 and 3650 is 2.

Also check out the Least Common Multiple of 3642 and 3650

Properties of GCF 3642 and 3650

(i) The GCF of 3642 and 3650 is associative

GCF of 3642 and 3650 = GCF of 3650 and 3642

Related Greatest Common Factor of 3642

Related Greatest Common Factor of 3650

Frequently Asked Questions on GCF of 3642 and 3650

1. What is the GCF of 3642 and 3650?

Answer: GCF of 3642 and 3650 is 2.

2. What are the Factors of 3642?

Answer: Factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642. There are 8 integers that are factors of 3642. The greatest factor of 3642 is 3642.

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 3642 and 3650?

Answer:

Greatest Common Factor of 3642 and 3650 = 2

Step 1: Find the prime factorization of 3642

3642 = 2 x 3 x 607

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 3642 and 3650 is 2