Greatest Common Factor of 103 and 106

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

• Greatest Common Factor of 103 and 106 by prime factorization method
• Greatest Common Factor of 103 and 106 by matching factors method

Prime Factorization of 103

Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:

103 = 103¹

Prime Factorization of 106

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

106 = 2¹×53¹

∴ So by taking common prime factors GCF of 103 and 106 is 1

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 106

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

1,2,53,106

Greatest Common Factor

We found the factors and prime factorization of 103 and 106. The biggest common factor number is the GCF number.
So the greatest common factor 103 and 106 is 1.

Also check out the Least Common Multiple of 103 and 106

(i) The GCF of 103 and 106 is associative

GCF of 103 and 106 = GCF of 106 and 103

1. What is the GCF of 103 and 106?

Answer: GCF of 103 and 106 is 1.

2. What are the Factors of 103?

Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.

3. 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.

4. How to Find the GCF of 103 and 106?

Answer:

Greatest Common Factor of 103 and 106 = 1

Step 1: Find the prime factorization of 103

103 = 103

Step 2: Find the prime factorization of 106

106 = 2 x 53

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 103 and 106 is 1