Greatest Common Factor of 109 and 115

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

• Greatest Common Factor of 109 and 115 by prime factorization method
• Greatest Common Factor of 109 and 115 by matching factors method

Prime Factorization of 109

Prime factors of 109 are 109. Prime factorization of 109 in exponential form is:

109 = 109¹

Prime Factorization of 115

Prime factors of 115 are 5.Prime factorization of 115 in exponential form is:

115 = 5¹×23¹

∴ So by taking common prime factors GCF of 109 and 115 is 1

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors and prime factorization of 109 and 115. The biggest common factor number is the GCF number.
So the greatest common factor 109 and 115 is 1.

Also check out the Least Common Multiple of 109 and 115

(i) The GCF of 109 and 115 is associative

GCF of 109 and 115 = GCF of 115 and 109

1. What is the GCF of 109 and 115?

Answer: GCF of 109 and 115 is 1.

2. What are the Factors of 109?

Answer: Factors of 109 are 1, 109. There are 2 integers that are factors of 109. The greatest factor of 109 is 109.

3. What are the Factors of 115?

Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.

4. How to Find the GCF of 109 and 115?

Answer:

Greatest Common Factor of 109 and 115 = 1

Step 1: Find the prime factorization of 109

109 = 109

Step 2: Find the prime factorization of 115

115 = 5 x 23

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 109 and 115 is 1