Greatest Common Factor of 3655 and 3658

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 3655, 3658 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3655 and 3658 is 1.

GCF(3655,3658) = 1

GCF of 3655 and 3658

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

GCF of:
and

Greatest Common Factor of 3655 and 3658

GCF of 3655 and 3658 is 1

Prime Factorization of 3655


5 3655
17 731
43 43
1

Prime factors of 3655 are 5,17,43. Prime factorization of 3655 in exponential form is:

3655 = 51×171×431

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

∴ So by taking common prime factors GCF of 3655 and 3658 is 1

Greatest Common Factor of 3655 and 3658 by matching factors method

Factors of 3655

List of positive integer factors of 3655 that divides 3655 without a remainder.

1,5,17,43,85,215,731,3655

Factors of 3658

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

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

Greatest Common Factor

We found the factors and prime factorization of 3655 and 3658. The biggest common factor number is the GCF number.
So the greatest common factor 3655 and 3658 is 1.

Also check out the Least Common Multiple of 3655 and 3658

Properties of GCF 3655 and 3658

(i) The GCF of 3655 and 3658 is associative

GCF of 3655 and 3658 = GCF of 3658 and 3655

Related Greatest Common Factor of 3655

Related Greatest Common Factor of 3658

Frequently Asked Questions on GCF of 3655 and 3658

1. What is the GCF of 3655 and 3658?

Answer: GCF of 3655 and 3658 is 1.

2. What are the Factors of 3655?

Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.

3. 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.

4. How to Find the GCF of 3655 and 3658?

Answer:

Greatest Common Factor of 3655 and 3658 = 1

Step 1: Find the prime factorization of 3655

3655 = 5 x 17 x 43

Step 2: Find the prime factorization of 3658

3658 = 2 x 31 x 59

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 3655 and 3658 is 1