Greatest Common Factor of 3724 and 3728

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, 3728 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3724 and 3728 is 4.

GCF(3724,3728) = 4

GCF of 3724 and 3728

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

GCF of:
and

Greatest Common Factor of 3724 and 3728

GCF of 3724 and 3728 is 4

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 3728


2 3728
2 1864
2 932
2 466
233 233
1

Prime factors of 3728 are 2,233. Prime factorization of 3728 in exponential form is:

3728 = 24×2331

∴ So by taking common prime factors GCF of 3724 and 3728 is 4

Greatest Common Factor of 3724 and 3728 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 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1,2,4,8,16,233,466,932,1864,3728

Greatest Common Factor

We found the factors and prime factorization of 3724 and 3728. The biggest common factor number is the GCF number.
So the greatest common factor 3724 and 3728 is 4.

Also check out the Least Common Multiple of 3724 and 3728

Properties of GCF 3724 and 3728

(i) The GCF of 3724 and 3728 is associative

GCF of 3724 and 3728 = GCF of 3728 and 3724

Related Greatest Common Factor of 3724

Related Greatest Common Factor of 3728

Frequently Asked Questions on GCF of 3724 and 3728

1. What is the GCF of 3724 and 3728?

Answer: GCF of 3724 and 3728 is 4.

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 3728?

Answer: Factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728. There are 10 integers that are factors of 3728. The greatest factor of 3728 is 3728.

4. How to Find the GCF of 3724 and 3728?

Answer:

Greatest Common Factor of 3724 and 3728 = 4

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 3728

3728 = 2 x 2 x 2 x 2 x 233

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3724 and 3728 is 4