Greatest Common Factor of 107 and 111

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

• Greatest Common Factor of 107 and 111 by prime factorization method
• Greatest Common Factor of 107 and 111 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 111

Prime factors of 111 are 3.Prime factorization of 111 in exponential form is:

111 = 3¹×37¹

∴ So by taking common prime factors GCF of 107 and 111 is 1

Factors of 107

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

1,107

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors and prime factorization of 107 and 111. The biggest common factor number is the GCF number.
So the greatest common factor 107 and 111 is 1.

Also check out the Least Common Multiple of 107 and 111

(i) The GCF of 107 and 111 is associative

GCF of 107 and 111 = GCF of 111 and 107

1. What is the GCF of 107 and 111?

Answer: GCF of 107 and 111 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 111?

Answer: Factors of 111 are 1, 3, 37, 111. There are 4 integers that are factors of 111. The greatest factor of 111 is 111.

4. How to Find the GCF of 107 and 111?

Answer:

Greatest Common Factor of 107 and 111 = 1

Step 1: Find the prime factorization of 107

107 = 107

Step 2: Find the prime factorization of 111

111 = 3 x 37

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 111 is 1