Greatest Common Factor of 3695 and 3700

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 3695, 3700 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3695 and 3700 is 5.

GCF(3695,3700) = 5

GCF of 3695 and 3700

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

GCF of:
and

Greatest Common Factor of 3695 and 3700

GCF of 3695 and 3700 is 5

Prime Factorization of 3695


5 3695
739 739
1

Prime factors of 3695 are 5,739. Prime factorization of 3695 in exponential form is:

3695 = 51×7391

Prime Factorization of 3700


2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 3700 are 2,5,37. Prime factorization of 3700 in exponential form is:

3700 = 22×52×371

∴ So by taking common prime factors GCF of 3695 and 3700 is 5

Greatest Common Factor of 3695 and 3700 by matching factors method

Factors of 3695

List of positive integer factors of 3695 that divides 3695 without a remainder.

1,5,739,3695

Factors of 3700

List of positive integer factors of 3700 that divides 3700 without a remainder.

1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700

Greatest Common Factor

We found the factors and prime factorization of 3695 and 3700. The biggest common factor number is the GCF number.
So the greatest common factor 3695 and 3700 is 5.

Also check out the Least Common Multiple of 3695 and 3700

Properties of GCF 3695 and 3700

(i) The GCF of 3695 and 3700 is associative

GCF of 3695 and 3700 = GCF of 3700 and 3695

Related Greatest Common Factor of 3695

Related Greatest Common Factor of 3700

Frequently Asked Questions on GCF of 3695 and 3700

1. What is the GCF of 3695 and 3700?

Answer: GCF of 3695 and 3700 is 5.

2. What are the Factors of 3695?

Answer: Factors of 3695 are 1, 5, 739, 3695. There are 4 integers that are factors of 3695. The greatest factor of 3695 is 3695.

3. What are the Factors of 3700?

Answer: Factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700. There are 18 integers that are factors of 3700. The greatest factor of 3700 is 3700.

4. How to Find the GCF of 3695 and 3700?

Answer:

Greatest Common Factor of 3695 and 3700 = 5

Step 1: Find the prime factorization of 3695

3695 = 5 x 739

Step 2: Find the prime factorization of 3700

3700 = 2 x 2 x 5 x 5 x 37

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3695 and 3700 is 5