Greatest Common Factor of 3920 and 3925

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 3920, 3925 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3920 and 3925 is 5.

GCF(3920,3925) = 5

GCF of 3920 and 3925

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

GCF of:
and

Greatest Common Factor of 3920 and 3925

GCF of 3920 and 3925 is 5

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

Prime Factorization of 3925


5 3925
5 785
157 157
1

Prime factors of 3925 are 5,157. Prime factorization of 3925 in exponential form is:

3925 = 52×1571

∴ So by taking common prime factors GCF of 3920 and 3925 is 5

Greatest Common Factor of 3920 and 3925 by matching factors method

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

Factors of 3925

List of positive integer factors of 3925 that divides 3925 without a remainder.

1,5,25,157,785,3925

Greatest Common Factor

We found the factors and prime factorization of 3920 and 3925. The biggest common factor number is the GCF number.
So the greatest common factor 3920 and 3925 is 5.

Also check out the Least Common Multiple of 3920 and 3925

Properties of GCF 3920 and 3925

(i) The GCF of 3920 and 3925 is associative

GCF of 3920 and 3925 = GCF of 3925 and 3920

Related Greatest Common Factor of 3920

Related Greatest Common Factor of 3925

Frequently Asked Questions on GCF of 3920 and 3925

1. What is the GCF of 3920 and 3925?

Answer: GCF of 3920 and 3925 is 5.

2. 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.

3. What are the Factors of 3925?

Answer: Factors of 3925 are 1, 5, 25, 157, 785, 3925. There are 6 integers that are factors of 3925. The greatest factor of 3925 is 3925.

4. How to Find the GCF of 3920 and 3925?

Answer:

Greatest Common Factor of 3920 and 3925 = 5

Step 1: Find the prime factorization of 3920

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

Step 2: Find the prime factorization of 3925

3925 = 5 x 5 x 157

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 3920 and 3925 is 5