Greatest Common Factor of 1929 and 1935

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 1929, 1935 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1929 and 1935 is 3.

GCF(1929,1935) = 3

GCF of 1929 and 1935

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

GCF of:
and

Greatest Common Factor of 1929 and 1935

GCF of 1929 and 1935 is 3

Prime Factorization of 1929


3 1929
643 643
1

Prime factors of 1929 are 3,643. Prime factorization of 1929 in exponential form is:

1929 = 31×6431

Prime Factorization of 1935


3 1935
3 645
5 215
43 43
1

Prime factors of 1935 are 3,5,43. Prime factorization of 1935 in exponential form is:

1935 = 32×51×431

∴ So by taking common prime factors GCF of 1929 and 1935 is 3

Greatest Common Factor of 1929 and 1935 by matching factors method

Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1,3,643,1929

Factors of 1935

List of positive integer factors of 1935 that divides 1935 without a remainder.

1,3,5,9,15,43,45,129,215,387,645,1935

Greatest Common Factor

We found the factors and prime factorization of 1929 and 1935. The biggest common factor number is the GCF number.
So the greatest common factor 1929 and 1935 is 3.

Also check out the Least Common Multiple of 1929 and 1935

Properties of GCF 1929 and 1935

(i) The GCF of 1929 and 1935 is associative

GCF of 1929 and 1935 = GCF of 1935 and 1929

Related Greatest Common Factor of 1929

Related Greatest Common Factor of 1935

Frequently Asked Questions on GCF of 1929 and 1935

1. What is the GCF of 1929 and 1935?

Answer: GCF of 1929 and 1935 is 3.

2. What are the Factors of 1929?

Answer: Factors of 1929 are 1, 3, 643, 1929. There are 4 integers that are factors of 1929. The greatest factor of 1929 is 1929.

3. What are the Factors of 1935?

Answer: Factors of 1935 are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935. There are 12 integers that are factors of 1935. The greatest factor of 1935 is 1935.

4. How to Find the GCF of 1929 and 1935?

Answer:

Greatest Common Factor of 1929 and 1935 = 3

Step 1: Find the prime factorization of 1929

1929 = 3 x 643

Step 2: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1929 and 1935 is 3