Greatest Common Factor of 106 and 113

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

• Greatest Common Factor of 106 and 113 by prime factorization method
• Greatest Common Factor of 106 and 113 by matching factors method

Prime Factorization of 106

Prime factors of 106 are 2,53. Prime factorization of 106 in exponential form is:

106 = 2¹×53¹

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 106 and 113 is 1

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

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 106 and 113. The biggest common factor number is the GCF number.
So the greatest common factor 106 and 113 is 1.

Also check out the Least Common Multiple of 106 and 113

(i) The GCF of 106 and 113 is associative

GCF of 106 and 113 = GCF of 113 and 106

1. What is the GCF of 106 and 113?

Answer: GCF of 106 and 113 is 1.

2. What are the Factors of 106?

Answer: Factors of 106 are 1, 2, 53, 106. There are 4 integers that are factors of 106. The greatest factor of 106 is 106.

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 106 and 113?

Answer:

Greatest Common Factor of 106 and 113 = 1

Step 1: Find the prime factorization of 106

106 = 2 x 53

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 106 and 113 is 1