Greatest Common Factor of 1843 and 1847

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

• Greatest Common Factor of 1843 and 1847 by prime factorization method
• Greatest Common Factor of 1843 and 1847 by matching factors method

Prime Factorization of 1843

Prime factors of 1843 are 19,97. Prime factorization of 1843 in exponential form is:

1843 = 19¹×97¹

Prime Factorization of 1847

Prime factors of 1847 are 1847. Prime factorization of 1847 in exponential form is:

1847 = 1847¹

∴ So by taking common prime factors GCF of 1843 and 1847 is 1

Factors of 1843

List of positive integer factors of 1843 that divides 1843 without a remainder.

1,19,97,1843

Factors of 1847

List of positive integer factors of 1847 that divides 1847 without a remainder.

1,1847

Greatest Common Factor

We found the factors and prime factorization of 1843 and 1847. The biggest common factor number is the GCF number.
So the greatest common factor 1843 and 1847 is 1.

Also check out the Least Common Multiple of 1843 and 1847

(i) The GCF of 1843 and 1847 is associative

GCF of 1843 and 1847 = GCF of 1847 and 1843

1. What is the GCF of 1843 and 1847?

Answer: GCF of 1843 and 1847 is 1.

2. What are the Factors of 1843?

Answer: Factors of 1843 are 1, 19, 97, 1843. There are 4 integers that are factors of 1843. The greatest factor of 1843 is 1843.

3. What are the Factors of 1847?

Answer: Factors of 1847 are 1, 1847. There are 2 integers that are factors of 1847. The greatest factor of 1847 is 1847.

4. How to Find the GCF of 1843 and 1847?

Answer:

Greatest Common Factor of 1843 and 1847 = 1

Step 1: Find the prime factorization of 1843

1843 = 19 x 97

Step 2: Find the prime factorization of 1847

1847 = 1847

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 1843 and 1847 is 1