Greatest Common Factor of 109 and 113

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

• Greatest Common Factor of 109 and 113 by prime factorization method
• Greatest Common Factor of 109 and 113 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 113

Prime factors of 113 are 113.Prime factorization of 113 in exponential form is:

113 = 113¹

∴ So by taking common prime factors GCF of 109 and 113 is 1

Factors of 109

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

1,109

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors and prime factorization of 109 and 113. The biggest common factor number is the GCF number.
So the greatest common factor 109 and 113 is 1.

Also check out the Least Common Multiple of 109 and 113

(i) The GCF of 109 and 113 is associative

GCF of 109 and 113 = GCF of 113 and 109

1. What is the GCF of 109 and 113?

Answer: GCF of 109 and 113 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 113?

Answer: Factors of 113 are 1, 113. There are 2 integers that are factors of 113. The greatest factor of 113 is 113.

4. How to Find the GCF of 109 and 113?

Answer:

Greatest Common Factor of 109 and 113 = 1

Step 1: Find the prime factorization of 109

109 = 109

Step 2: Find the prime factorization of 113

113 = 113

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 113 is 1