Greatest Common Factor of 3724 and 3731

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 3724, 3731 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3724 and 3731 is 7.

GCF(3724,3731) = 7

GCF of 3724 and 3731

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

GCF of:
and

Greatest Common Factor of 3724 and 3731

GCF of 3724 and 3731 is 7

Prime Factorization of 3724


2 3724
2 1862
7 931
7 133
19 19
1

Prime factors of 3724 are 2,7,19. Prime factorization of 3724 in exponential form is:

3724 = 22×72×191

Prime Factorization of 3731


7 3731
13 533
41 41
1

Prime factors of 3731 are 7,13,41. Prime factorization of 3731 in exponential form is:

3731 = 71×131×411

∴ So by taking common prime factors GCF of 3724 and 3731 is 7

Greatest Common Factor of 3724 and 3731 by matching factors method

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724

Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1,7,13,41,91,287,533,3731

Greatest Common Factor

We found the factors and prime factorization of 3724 and 3731. The biggest common factor number is the GCF number.
So the greatest common factor 3724 and 3731 is 7.

Also check out the Least Common Multiple of 3724 and 3731

Properties of GCF 3724 and 3731

(i) The GCF of 3724 and 3731 is associative

GCF of 3724 and 3731 = GCF of 3731 and 3724

Related Greatest Common Factor of 3724

Related Greatest Common Factor of 3731

Frequently Asked Questions on GCF of 3724 and 3731

1. What is the GCF of 3724 and 3731?

Answer: GCF of 3724 and 3731 is 7.

2. What are the Factors of 3724?

Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.

3. What are the Factors of 3731?

Answer: Factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731. There are 8 integers that are factors of 3731. The greatest factor of 3731 is 3731.

4. How to Find the GCF of 3724 and 3731?

Answer:

Greatest Common Factor of 3724 and 3731 = 7

Step 1: Find the prime factorization of 3724

3724 = 2 x 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 3731

3731 = 7 x 13 x 41

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 3724 and 3731 is 7