Greatest Common Factor of 3807 and 3814

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 3807, 3814 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3807 and 3814 is 1.

GCF(3807,3814) = 1

GCF of 3807 and 3814

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

GCF of:
and

Greatest Common Factor of 3807 and 3814

GCF of 3807 and 3814 is 1

Prime Factorization of 3807


3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 3807 are 3,47. Prime factorization of 3807 in exponential form is:

3807 = 34×471

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

∴ So by taking common prime factors GCF of 3807 and 3814 is 1

Greatest Common Factor of 3807 and 3814 by matching factors method

Factors of 3807

List of positive integer factors of 3807 that divides 3807 without a remainder.

1,3,9,27,47,81,141,423,1269,3807

Factors of 3814

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

1,2,1907,3814

Greatest Common Factor

We found the factors and prime factorization of 3807 and 3814. The biggest common factor number is the GCF number.
So the greatest common factor 3807 and 3814 is 1.

Also check out the Least Common Multiple of 3807 and 3814

Properties of GCF 3807 and 3814

(i) The GCF of 3807 and 3814 is associative

GCF of 3807 and 3814 = GCF of 3814 and 3807

Related Greatest Common Factor of 3807

Related Greatest Common Factor of 3814

Frequently Asked Questions on GCF of 3807 and 3814

1. What is the GCF of 3807 and 3814?

Answer: GCF of 3807 and 3814 is 1.

2. What are the Factors of 3807?

Answer: Factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807. There are 10 integers that are factors of 3807. The greatest factor of 3807 is 3807.

3. 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.

4. How to Find the GCF of 3807 and 3814?

Answer:

Greatest Common Factor of 3807 and 3814 = 1

Step 1: Find the prime factorization of 3807

3807 = 3 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 3814

3814 = 2 x 1907

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 3807 and 3814 is 1