Greatest Common Factor of 1925 and 1931

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 1925, 1931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1925 and 1931 is 1.

GCF(1925,1931) = 1

GCF of 1925 and 1931

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

GCF of:
and

Greatest Common Factor of 1925 and 1931

GCF of 1925 and 1931 is 1

Prime Factorization of 1925


5 1925
5 385
7 77
11 11
1

Prime factors of 1925 are 5,7,11. Prime factorization of 1925 in exponential form is:

1925 = 52×71×111

Prime Factorization of 1931


1931 1931
1

Prime factors of 1931 are 1931. Prime factorization of 1931 in exponential form is:

1931 = 19311

∴ So by taking common prime factors GCF of 1925 and 1931 is 1

Greatest Common Factor of 1925 and 1931 by matching factors method

Factors of 1925

List of positive integer factors of 1925 that divides 1925 without a remainder.

1,5,7,11,25,35,55,77,175,275,385,1925

Factors of 1931

List of positive integer factors of 1931 that divides 1931 without a remainder.

1,1931

Greatest Common Factor

We found the factors and prime factorization of 1925 and 1931. The biggest common factor number is the GCF number.
So the greatest common factor 1925 and 1931 is 1.

Also check out the Least Common Multiple of 1925 and 1931

Properties of GCF 1925 and 1931

(i) The GCF of 1925 and 1931 is associative

GCF of 1925 and 1931 = GCF of 1931 and 1925

Related Greatest Common Factor of 1925

Related Greatest Common Factor of 1931

Frequently Asked Questions on GCF of 1925 and 1931

1. What is the GCF of 1925 and 1931?

Answer: GCF of 1925 and 1931 is 1.

2. What are the Factors of 1925?

Answer: Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. There are 12 integers that are factors of 1925. The greatest factor of 1925 is 1925.

3. What are the Factors of 1931?

Answer: Factors of 1931 are 1, 1931. There are 2 integers that are factors of 1931. The greatest factor of 1931 is 1931.

4. How to Find the GCF of 1925 and 1931?

Answer:

Greatest Common Factor of 1925 and 1931 = 1

Step 1: Find the prime factorization of 1925

1925 = 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 1931

1931 = 1931

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1925 and 1931 is 1