Greatest Common Factor of 3914 and 3920

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 3914, 3920 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3914 and 3920 is 2.

GCF(3914,3920) = 2

GCF of 3914 and 3920

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

GCF of:
and

Greatest Common Factor of 3914 and 3920

GCF of 3914 and 3920 is 2

Prime Factorization of 3914


2 3914
19 1957
103 103
1

Prime factors of 3914 are 2,19,103. Prime factorization of 3914 in exponential form is:

3914 = 21×191×1031

Prime Factorization of 3920


2 3920
2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 3920 are 2,5,7. Prime factorization of 3920 in exponential form is:

3920 = 24×51×72

∴ So by taking common prime factors GCF of 3914 and 3920 is 2

Greatest Common Factor of 3914 and 3920 by matching factors method

Factors of 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1,2,19,38,103,206,1957,3914

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Greatest Common Factor

We found the factors and prime factorization of 3914 and 3920. The biggest common factor number is the GCF number.
So the greatest common factor 3914 and 3920 is 2.

Also check out the Least Common Multiple of 3914 and 3920

Properties of GCF 3914 and 3920

(i) The GCF of 3914 and 3920 is associative

GCF of 3914 and 3920 = GCF of 3920 and 3914

Related Greatest Common Factor of 3914

Related Greatest Common Factor of 3920

Frequently Asked Questions on GCF of 3914 and 3920

1. What is the GCF of 3914 and 3920?

Answer: GCF of 3914 and 3920 is 2.

2. What are the Factors of 3914?

Answer: Factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914. There are 8 integers that are factors of 3914. The greatest factor of 3914 is 3914.

3. What are the Factors of 3920?

Answer: Factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920. There are 30 integers that are factors of 3920. The greatest factor of 3920 is 3920.

4. How to Find the GCF of 3914 and 3920?

Answer:

Greatest Common Factor of 3914 and 3920 = 2

Step 1: Find the prime factorization of 3914

3914 = 2 x 19 x 103

Step 2: Find the prime factorization of 3920

3920 = 2 x 2 x 2 x 2 x 5 x 7 x 7

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3914 and 3920 is 2