Greatest Common Factor of 113 and 115

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

• Greatest Common Factor of 113 and 115 by prime factorization method
• Greatest Common Factor of 113 and 115 by matching factors method

Prime Factorization of 113

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

113 = 113¹

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 113 and 115 is 1

Factors of 113

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

1,113

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 113 and 115. The biggest common factor number is the GCF number.
So the greatest common factor 113 and 115 is 1.

Also check out the Least Common Multiple of 113 and 115

(i) The GCF of 113 and 115 is associative

GCF of 113 and 115 = GCF of 115 and 113

1. What is the GCF of 113 and 115?

Answer: GCF of 113 and 115 is 1.

2. 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.

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 113 and 115?

Answer:

Greatest Common Factor of 113 and 115 = 1

Step 1: Find the prime factorization of 113

113 = 113

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 113 and 115 is 1