Greatest Common Factor of 3814 and 3817

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 3814, 3817 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3814 and 3817 is 1.

GCF(3814,3817) = 1

GCF of 3814 and 3817

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

GCF of:
and

Greatest Common Factor of 3814 and 3817

GCF of 3814 and 3817 is 1

Prime Factorization of 3814


2 3814
1907 1907
1

Prime factors of 3814 are 2,1907. Prime factorization of 3814 in exponential form is:

3814 = 21×19071

Prime Factorization of 3817


11 3817
347 347
1

Prime factors of 3817 are 11,347. Prime factorization of 3817 in exponential form is:

3817 = 111×3471

∴ So by taking common prime factors GCF of 3814 and 3817 is 1

Greatest Common Factor of 3814 and 3817 by matching factors method

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1,2,1907,3814

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1,11,347,3817

Greatest Common Factor

We found the factors and prime factorization of 3814 and 3817. The biggest common factor number is the GCF number.
So the greatest common factor 3814 and 3817 is 1.

Also check out the Least Common Multiple of 3814 and 3817

Properties of GCF 3814 and 3817

(i) The GCF of 3814 and 3817 is associative

GCF of 3814 and 3817 = GCF of 3817 and 3814

Related Greatest Common Factor of 3814

Related Greatest Common Factor of 3817

Frequently Asked Questions on GCF of 3814 and 3817

1. What is the GCF of 3814 and 3817?

Answer: GCF of 3814 and 3817 is 1.

2. What are the Factors of 3814?

Answer: Factors of 3814 are 1, 2, 1907, 3814. There are 4 integers that are factors of 3814. The greatest factor of 3814 is 3814.

3. What are the Factors of 3817?

Answer: Factors of 3817 are 1, 11, 347, 3817. There are 4 integers that are factors of 3817. The greatest factor of 3817 is 3817.

4. How to Find the GCF of 3814 and 3817?

Answer:

Greatest Common Factor of 3814 and 3817 = 1

Step 1: Find the prime factorization of 3814

3814 = 2 x 1907

Step 2: Find the prime factorization of 3817

3817 = 11 x 347

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 3814 and 3817 is 1