Greatest Common Factor of 3658 and 3665

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 3658, 3665 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3658 and 3665 is 1.

GCF(3658,3665) = 1

GCF of 3658 and 3665

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

GCF of:
and

Greatest Common Factor of 3658 and 3665

GCF of 3658 and 3665 is 1

Prime Factorization of 3658


2 3658
31 1829
59 59
1

Prime factors of 3658 are 2,31,59. Prime factorization of 3658 in exponential form is:

3658 = 21×311×591

Prime Factorization of 3665


5 3665
733 733
1

Prime factors of 3665 are 5,733. Prime factorization of 3665 in exponential form is:

3665 = 51×7331

∴ So by taking common prime factors GCF of 3658 and 3665 is 1

Greatest Common Factor of 3658 and 3665 by matching factors method

Factors of 3658

List of positive integer factors of 3658 that divides 3658 without a remainder.

1,2,31,59,62,118,1829,3658

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Greatest Common Factor

We found the factors and prime factorization of 3658 and 3665. The biggest common factor number is the GCF number.
So the greatest common factor 3658 and 3665 is 1.

Also check out the Least Common Multiple of 3658 and 3665

Properties of GCF 3658 and 3665

(i) The GCF of 3658 and 3665 is associative

GCF of 3658 and 3665 = GCF of 3665 and 3658

Related Greatest Common Factor of 3658

Related Greatest Common Factor of 3665

Frequently Asked Questions on GCF of 3658 and 3665

1. What is the GCF of 3658 and 3665?

Answer: GCF of 3658 and 3665 is 1.

2. What are the Factors of 3658?

Answer: Factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658. There are 8 integers that are factors of 3658. The greatest factor of 3658 is 3658.

3. What are the Factors of 3665?

Answer: Factors of 3665 are 1, 5, 733, 3665. There are 4 integers that are factors of 3665. The greatest factor of 3665 is 3665.

4. How to Find the GCF of 3658 and 3665?

Answer:

Greatest Common Factor of 3658 and 3665 = 1

Step 1: Find the prime factorization of 3658

3658 = 2 x 31 x 59

Step 2: Find the prime factorization of 3665

3665 = 5 x 733

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3658 and 3665 is 1