Greatest Common Factor of 113 and 119

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

• Greatest Common Factor of 113 and 119 by prime factorization method
• Greatest Common Factor of 113 and 119 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 119

Prime factors of 119 are 7.Prime factorization of 119 in exponential form is:

119 = 7¹×17¹

∴ So by taking common prime factors GCF of 113 and 119 is 1

Factors of 113

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

1,113

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors and prime factorization of 113 and 119. The biggest common factor number is the GCF number.
So the greatest common factor 113 and 119 is 1.

Also check out the Least Common Multiple of 113 and 119

(i) The GCF of 113 and 119 is associative

GCF of 113 and 119 = GCF of 119 and 113

1. What is the GCF of 113 and 119?

Answer: GCF of 113 and 119 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 119?

Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.

4. How to Find the GCF of 113 and 119?

Answer:

Greatest Common Factor of 113 and 119 = 1

Step 1: Find the prime factorization of 113

113 = 113

Step 2: Find the prime factorization of 119

119 = 7 x 17

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 119 is 1