Greatest Common Factor of 103 and 107

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

• Greatest Common Factor of 103 and 107 by prime factorization method
• Greatest Common Factor of 103 and 107 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 107

Prime factors of 107 are 107.Prime factorization of 107 in exponential form is:

107 = 107¹

∴ So by taking common prime factors GCF of 103 and 107 is 1

Factors of 103

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

1,103

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors and prime factorization of 103 and 107. The biggest common factor number is the GCF number.
So the greatest common factor 103 and 107 is 1.

Also check out the Least Common Multiple of 103 and 107

(i) The GCF of 103 and 107 is associative

GCF of 103 and 107 = GCF of 107 and 103

1. What is the GCF of 103 and 107?

Answer: GCF of 103 and 107 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 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

4. How to Find the GCF of 103 and 107?

Answer:

Greatest Common Factor of 103 and 107 = 1

Step 1: Find the prime factorization of 103

103 = 103

Step 2: Find the prime factorization of 107

107 = 107

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 107 is 1