Greatest Common Factor of 1925 and 1932

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, 1932 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1925 and 1932 is 7.

GCF(1925,1932) = 7

GCF of 1925 and 1932

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

GCF of:
and

Greatest Common Factor of 1925 and 1932

GCF of 1925 and 1932 is 7

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 1932


2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 1932 are 2,3,7,23. Prime factorization of 1932 in exponential form is:

1932 = 22×31×71×231

∴ So by taking common prime factors GCF of 1925 and 1932 is 7

Greatest Common Factor of 1925 and 1932 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 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932

Greatest Common Factor

We found the factors and prime factorization of 1925 and 1932. The biggest common factor number is the GCF number.
So the greatest common factor 1925 and 1932 is 7.

Also check out the Least Common Multiple of 1925 and 1932

Properties of GCF 1925 and 1932

(i) The GCF of 1925 and 1932 is associative

GCF of 1925 and 1932 = GCF of 1932 and 1925

Related Greatest Common Factor of 1925

Related Greatest Common Factor of 1932

Frequently Asked Questions on GCF of 1925 and 1932

1. What is the GCF of 1925 and 1932?

Answer: GCF of 1925 and 1932 is 7.

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 1932?

Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.

4. How to Find the GCF of 1925 and 1932?

Answer:

Greatest Common Factor of 1925 and 1932 = 7

Step 1: Find the prime factorization of 1925

1925 = 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 1932

1932 = 2 x 2 x 3 x 7 x 23

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 1925 and 1932 is 7