Greatest Common Factor of 3658 and 3662

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, 3662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3658 and 3662 is 2.

GCF(3658,3662) = 2

GCF of 3658 and 3662

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

GCF of:
and

Greatest Common Factor of 3658 and 3662

GCF of 3658 and 3662 is 2

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 3662


2 3662
1831 1831
1

Prime factors of 3662 are 2,1831. Prime factorization of 3662 in exponential form is:

3662 = 21×18311

∴ So by taking common prime factors GCF of 3658 and 3662 is 2

Greatest Common Factor of 3658 and 3662 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 3662

List of positive integer factors of 3662 that divides 3662 without a remainder.

1,2,1831,3662

Greatest Common Factor

We found the factors and prime factorization of 3658 and 3662. The biggest common factor number is the GCF number.
So the greatest common factor 3658 and 3662 is 2.

Also check out the Least Common Multiple of 3658 and 3662

Properties of GCF 3658 and 3662

(i) The GCF of 3658 and 3662 is associative

GCF of 3658 and 3662 = GCF of 3662 and 3658

Related Greatest Common Factor of 3658

Related Greatest Common Factor of 3662

Frequently Asked Questions on GCF of 3658 and 3662

1. What is the GCF of 3658 and 3662?

Answer: GCF of 3658 and 3662 is 2.

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 3662?

Answer: Factors of 3662 are 1, 2, 1831, 3662. There are 4 integers that are factors of 3662. The greatest factor of 3662 is 3662.

4. How to Find the GCF of 3658 and 3662?

Answer:

Greatest Common Factor of 3658 and 3662 = 2

Step 1: Find the prime factorization of 3658

3658 = 2 x 31 x 59

Step 2: Find the prime factorization of 3662

3662 = 2 x 1831

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 3658 and 3662 is 2