Greatest Common Factor of 3654 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 3654, 3658 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3654 and 3658 is 2.

GCF(3654,3658) = 2

GCF of 3654 and 3658

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

GCF of:
and

Greatest Common Factor of 3654 and 3658

GCF of 3654 and 3658 is 2

Prime Factorization of 3654


2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 3654 are 2,3,7,29. Prime factorization of 3654 in exponential form is:

3654 = 21×32×71×291

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 3654 and 3658 is 2

Greatest Common Factor of 3654 and 3658 by matching factors method

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

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 3654 and 3658. The biggest common factor number is the GCF number.
So the greatest common factor 3654 and 3658 is 2.

Also check out the Least Common Multiple of 3654 and 3658

Properties of GCF 3654 and 3658

(i) The GCF of 3654 and 3658 is associative

GCF of 3654 and 3658 = GCF of 3658 and 3654

Related Greatest Common Factor of 3654

Related Greatest Common Factor of 3658

Frequently Asked Questions on GCF of 3654 and 3658

1. What is the GCF of 3654 and 3658?

Answer: GCF of 3654 and 3658 is 2.

2. What are the Factors of 3654?

Answer: Factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654. There are 24 integers that are factors of 3654. The greatest factor of 3654 is 3654.

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 3654 and 3658?

Answer:

Greatest Common Factor of 3654 and 3658 = 2

Step 1: Find the prime factorization of 3654

3654 = 2 x 3 x 3 x 7 x 29

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 = 2

Step 4: Therefore, the greatest common factor of 3654 and 3658 is 2