Greatest Common Factor of 3664 and 3670

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 3664, 3670 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3664 and 3670 is 2.

GCF(3664,3670) = 2

GCF of 3664 and 3670

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

GCF of:
and

Greatest Common Factor of 3664 and 3670

GCF of 3664 and 3670 is 2

Prime Factorization of 3664


2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 3664 are 2,229. Prime factorization of 3664 in exponential form is:

3664 = 24×2291

Prime Factorization of 3670


2 3670
5 1835
367 367
1

Prime factors of 3670 are 2,5,367. Prime factorization of 3670 in exponential form is:

3670 = 21×51×3671

∴ So by taking common prime factors GCF of 3664 and 3670 is 2

Greatest Common Factor of 3664 and 3670 by matching factors method

Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1,2,4,8,16,229,458,916,1832,3664

Factors of 3670

List of positive integer factors of 3670 that divides 3670 without a remainder.

1,2,5,10,367,734,1835,3670

Greatest Common Factor

We found the factors and prime factorization of 3664 and 3670. The biggest common factor number is the GCF number.
So the greatest common factor 3664 and 3670 is 2.

Also check out the Least Common Multiple of 3664 and 3670

Properties of GCF 3664 and 3670

(i) The GCF of 3664 and 3670 is associative

GCF of 3664 and 3670 = GCF of 3670 and 3664

Related Greatest Common Factor of 3664

Related Greatest Common Factor of 3670

Frequently Asked Questions on GCF of 3664 and 3670

1. What is the GCF of 3664 and 3670?

Answer: GCF of 3664 and 3670 is 2.

2. What are the Factors of 3664?

Answer: Factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664. There are 10 integers that are factors of 3664. The greatest factor of 3664 is 3664.

3. What are the Factors of 3670?

Answer: Factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670. There are 8 integers that are factors of 3670. The greatest factor of 3670 is 3670.

4. How to Find the GCF of 3664 and 3670?

Answer:

Greatest Common Factor of 3664 and 3670 = 2

Step 1: Find the prime factorization of 3664

3664 = 2 x 2 x 2 x 2 x 229

Step 2: Find the prime factorization of 3670

3670 = 2 x 5 x 367

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 3664 and 3670 is 2