What is the Greatest Common Factor of 111 and 117?

Greatest common factor (GCF) of 111 and 117 is 3.

GCF(111,117) = 3

We will now calculate the prime factors of 111 and 117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 111 and 117.

How to find the GCF of 111 and 117?

We will first find the prime factorization of 111 and 117. After we will calculate the factors of 111 and 117 and find the biggest common factor number .

Step-1: Prime Factorization of 111

Prime factors of 111 are 3, 37. Prime factorization of 111 in exponential form is:

111 = 3¹ × 37¹

Step-2: Prime Factorization of 117

Prime factors of 117 are 3, 13. Prime factorization of 117 in exponential form is:

117 = 3² × 13¹

Step-3: Factors of 111

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

1, 3, 37

Step-4: Factors of 117

List of positive integer factors of 117 that divides 111 without a remainder.

1, 3, 9, 13, 39

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 111 and 117. The biggest common factor number is the GCF number.
So the greatest common factor 111 and 117 is 3.

Also check out the Least Common Multiple of 111 and 117