Greatest Common Factor of 113 and 118

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

• Greatest Common Factor of 113 and 118 by prime factorization method
• Greatest Common Factor of 113 and 118 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 118

Prime factors of 118 are 2.Prime factorization of 118 in exponential form is:

118 = 2¹×59¹

∴ So by taking common prime factors GCF of 113 and 118 is 1

Factors of 113

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

1,113

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors and prime factorization of 113 and 118. The biggest common factor number is the GCF number.
So the greatest common factor 113 and 118 is 1.

Also check out the Least Common Multiple of 113 and 118

(i) The GCF of 113 and 118 is associative

GCF of 113 and 118 = GCF of 118 and 113

1. What is the GCF of 113 and 118?

Answer: GCF of 113 and 118 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 118?

Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.

4. How to Find the GCF of 113 and 118?

Answer:

Greatest Common Factor of 113 and 118 = 1

Step 1: Find the prime factorization of 113

113 = 113

Step 2: Find the prime factorization of 118

118 = 2 x 59

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 118 is 1