Greatest Common Factor of 107 and 109

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

• Greatest Common Factor of 107 and 109 by prime factorization method
• Greatest Common Factor of 107 and 109 by matching factors method

Prime Factorization of 107

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

107 = 107¹

Prime Factorization of 109

Prime factors of 109 are 109.Prime factorization of 109 in exponential form is:

109 = 109¹

∴ So by taking common prime factors GCF of 107 and 109 is 1

Factors of 107

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

1,107

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors and prime factorization of 107 and 109. The biggest common factor number is the GCF number.
So the greatest common factor 107 and 109 is 1.

Also check out the Least Common Multiple of 107 and 109

(i) The GCF of 107 and 109 is associative

GCF of 107 and 109 = GCF of 109 and 107

1. What is the GCF of 107 and 109?

Answer: GCF of 107 and 109 is 1.

2. 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.

3. What are the Factors of 109?

Answer: Factors of 109 are 1, 109. There are 2 integers that are factors of 109. The greatest factor of 109 is 109.

4. How to Find the GCF of 107 and 109?

Answer:

Greatest Common Factor of 107 and 109 = 1

Step 1: Find the prime factorization of 107

107 = 107

Step 2: Find the prime factorization of 109

109 = 109

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 107 and 109 is 1