Greatest Common Factor of 3787 and 3794

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 3787, 3794 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3787 and 3794 is 7.

GCF(3787,3794) = 7

GCF of 3787 and 3794

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

GCF of:
and

Greatest Common Factor of 3787 and 3794

GCF of 3787 and 3794 is 7

Prime Factorization of 3787


7 3787
541 541
1

Prime factors of 3787 are 7,541. Prime factorization of 3787 in exponential form is:

3787 = 71×5411

Prime Factorization of 3794


2 3794
7 1897
271 271
1

Prime factors of 3794 are 2,7,271. Prime factorization of 3794 in exponential form is:

3794 = 21×71×2711

∴ So by taking common prime factors GCF of 3787 and 3794 is 7

Greatest Common Factor of 3787 and 3794 by matching factors method

Factors of 3787

List of positive integer factors of 3787 that divides 3787 without a remainder.

1,7,541,3787

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1,2,7,14,271,542,1897,3794

Greatest Common Factor

We found the factors and prime factorization of 3787 and 3794. The biggest common factor number is the GCF number.
So the greatest common factor 3787 and 3794 is 7.

Also check out the Least Common Multiple of 3787 and 3794

Properties of GCF 3787 and 3794

(i) The GCF of 3787 and 3794 is associative

GCF of 3787 and 3794 = GCF of 3794 and 3787

Related Greatest Common Factor of 3787

Related Greatest Common Factor of 3794

Frequently Asked Questions on GCF of 3787 and 3794

1. What is the GCF of 3787 and 3794?

Answer: GCF of 3787 and 3794 is 7.

2. What are the Factors of 3787?

Answer: Factors of 3787 are 1, 7, 541, 3787. There are 4 integers that are factors of 3787. The greatest factor of 3787 is 3787.

3. What are the Factors of 3794?

Answer: Factors of 3794 are 1, 2, 7, 14, 271, 542, 1897, 3794. There are 8 integers that are factors of 3794. The greatest factor of 3794 is 3794.

4. How to Find the GCF of 3787 and 3794?

Answer:

Greatest Common Factor of 3787 and 3794 = 7

Step 1: Find the prime factorization of 3787

3787 = 7 x 541

Step 2: Find the prime factorization of 3794

3794 = 2 x 7 x 271

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3787 and 3794 is 7