Greatest Common Factor of 1109 and 1117

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

• Greatest Common Factor of 1109 and 1117 by prime factorization method
• Greatest Common Factor of 1109 and 1117 by matching factors method

Prime Factorization of 1109

Prime factors of 1109 are 1109. Prime factorization of 1109 in exponential form is:

1109 = 1109¹

Prime Factorization of 1117

Prime factors of 1117 are 1117.Prime factorization of 1117 in exponential form is:

1117 = 1117¹

∴ So by taking common prime factors GCF of 1109 and 1117 is 1

Factors of 1109

List of positive integer factors of 1109 that divides 1109 without a remainder.

1,1109

Factors of 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1,1117

Greatest Common Factor

We found the factors and prime factorization of 1109 and 1117. The biggest common factor number is the GCF number.
So the greatest common factor 1109 and 1117 is 1.

Also check out the Least Common Multiple of 1109 and 1117

(i) The GCF of 1109 and 1117 is associative

GCF of 1109 and 1117 = GCF of 1117 and 1109

1. What is the GCF of 1109 and 1117?

Answer: GCF of 1109 and 1117 is 1.

2. What are the Factors of 1109?

Answer: Factors of 1109 are 1, 1109. There are 2 integers that are factors of 1109. The greatest factor of 1109 is 1109.

3. What are the Factors of 1117?

Answer: Factors of 1117 are 1, 1117. There are 2 integers that are factors of 1117. The greatest factor of 1117 is 1117.

4. How to Find the GCF of 1109 and 1117?

Answer:

Greatest Common Factor of 1109 and 1117 = 1

Step 1: Find the prime factorization of 1109

1109 = 1109

Step 2: Find the prime factorization of 1117

1117 = 1117

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 1109 and 1117 is 1