What is the Greatest Common Factor of 76107 and 76116?

Greatest common factor (GCF) of 76107 and 76116 is 3.

GCF(76107,76116) = 3

We will now calculate the prime factors of 76107 and 76116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76107 and 76116.

How to find the GCF of 76107 and 76116?

We will first find the prime factorization of 76107 and 76116. After we will calculate the factors of 76107 and 76116 and find the biggest common factor number .

Step-1: Prime Factorization of 76107

Prime factors of 76107 are 3, 23, 1103. Prime factorization of 76107 in exponential form is:

76107 = 3¹ × 23¹ × 1103¹

Step-2: Prime Factorization of 76116

Prime factors of 76116 are 2, 3, 6343. Prime factorization of 76116 in exponential form is:

76116 = 2² × 3¹ × 6343¹

Step-3: Factors of 76107

List of positive integer factors of 76107 that divides 76107 without a remainder.

1, 3, 23, 69, 1103, 3309, 25369

Step-4: Factors of 76116

List of positive integer factors of 76116 that divides 76107 without a remainder.

1, 2, 3, 4, 6, 12, 6343, 12686, 19029, 25372, 38058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76107 and 76116. The biggest common factor number is the GCF number.
So the greatest common factor 76107 and 76116 is 3.

Also check out the Least Common Multiple of 76107 and 76116