Greatest Common Factor of 1909 and 1912

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 1909, 1912 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1909 and 1912 is 1.

GCF(1909,1912) = 1

GCF of 1909 and 1912

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

GCF of:
and

Greatest Common Factor of 1909 and 1912

GCF of 1909 and 1912 is 1

Prime Factorization of 1909


23 1909
83 83
1

Prime factors of 1909 are 23,83. Prime factorization of 1909 in exponential form is:

1909 = 231×831

Prime Factorization of 1912


2 1912
2 956
2 478
239 239
1

Prime factors of 1912 are 2,239. Prime factorization of 1912 in exponential form is:

1912 = 23×2391

∴ So by taking common prime factors GCF of 1909 and 1912 is 1

Greatest Common Factor of 1909 and 1912 by matching factors method

Factors of 1909

List of positive integer factors of 1909 that divides 1909 without a remainder.

1,23,83,1909

Factors of 1912

List of positive integer factors of 1912 that divides 1912 without a remainder.

1,2,4,8,239,478,956,1912

Greatest Common Factor

We found the factors and prime factorization of 1909 and 1912. The biggest common factor number is the GCF number.
So the greatest common factor 1909 and 1912 is 1.

Also check out the Least Common Multiple of 1909 and 1912

Properties of GCF 1909 and 1912

(i) The GCF of 1909 and 1912 is associative

GCF of 1909 and 1912 = GCF of 1912 and 1909

Related Greatest Common Factor of 1909

Related Greatest Common Factor of 1912

Frequently Asked Questions on GCF of 1909 and 1912

1. What is the GCF of 1909 and 1912?

Answer: GCF of 1909 and 1912 is 1.

2. What are the Factors of 1909?

Answer: Factors of 1909 are 1, 23, 83, 1909. There are 4 integers that are factors of 1909. The greatest factor of 1909 is 1909.

3. What are the Factors of 1912?

Answer: Factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912. There are 8 integers that are factors of 1912. The greatest factor of 1912 is 1912.

4. How to Find the GCF of 1909 and 1912?

Answer:

Greatest Common Factor of 1909 and 1912 = 1

Step 1: Find the prime factorization of 1909

1909 = 23 x 83

Step 2: Find the prime factorization of 1912

1912 = 2 x 2 x 2 x 239

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 1909 and 1912 is 1