Greatest Common Factor of 3668 and 3674

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 3668, 3674 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3668 and 3674 is 2.

GCF(3668,3674) = 2

GCF of 3668 and 3674

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

GCF of:
and

Greatest Common Factor of 3668 and 3674

GCF of 3668 and 3674 is 2

Prime Factorization of 3668


2 3668
2 1834
7 917
131 131
1

Prime factors of 3668 are 2,7,131. Prime factorization of 3668 in exponential form is:

3668 = 22×71×1311

Prime Factorization of 3674


2 3674
11 1837
167 167
1

Prime factors of 3674 are 2,11,167. Prime factorization of 3674 in exponential form is:

3674 = 21×111×1671

∴ So by taking common prime factors GCF of 3668 and 3674 is 2

Greatest Common Factor of 3668 and 3674 by matching factors method

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1,2,4,7,14,28,131,262,524,917,1834,3668

Factors of 3674

List of positive integer factors of 3674 that divides 3674 without a remainder.

1,2,11,22,167,334,1837,3674

Greatest Common Factor

We found the factors and prime factorization of 3668 and 3674. The biggest common factor number is the GCF number.
So the greatest common factor 3668 and 3674 is 2.

Also check out the Least Common Multiple of 3668 and 3674

Properties of GCF 3668 and 3674

(i) The GCF of 3668 and 3674 is associative

GCF of 3668 and 3674 = GCF of 3674 and 3668

Related Greatest Common Factor of 3668

Related Greatest Common Factor of 3674

Frequently Asked Questions on GCF of 3668 and 3674

1. What is the GCF of 3668 and 3674?

Answer: GCF of 3668 and 3674 is 2.

2. What are the Factors of 3668?

Answer: Factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. There are 12 integers that are factors of 3668. The greatest factor of 3668 is 3668.

3. What are the Factors of 3674?

Answer: Factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674. There are 8 integers that are factors of 3674. The greatest factor of 3674 is 3674.

4. How to Find the GCF of 3668 and 3674?

Answer:

Greatest Common Factor of 3668 and 3674 = 2

Step 1: Find the prime factorization of 3668

3668 = 2 x 2 x 7 x 131

Step 2: Find the prime factorization of 3674

3674 = 2 x 11 x 167

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 3668 and 3674 is 2