What is the Greatest Common Factor of 76105 and 76115?

Greatest common factor (GCF) of 76105 and 76115 is 5.

GCF(76105,76115) = 5

We will now calculate the prime factors of 76105 and 76115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76105 and 76115.

How to find the GCF of 76105 and 76115?

We will first find the prime factorization of 76105 and 76115. After we will calculate the factors of 76105 and 76115 and find the biggest common factor number .

Step-1: Prime Factorization of 76105

Prime factors of 76105 are 5, 31, 491. Prime factorization of 76105 in exponential form is:

76105 = 5¹ × 31¹ × 491¹

Step-2: Prime Factorization of 76115

Prime factors of 76115 are 5, 13, 1171. Prime factorization of 76115 in exponential form is:

76115 = 5¹ × 13¹ × 1171¹

Step-3: Factors of 76105

List of positive integer factors of 76105 that divides 76105 without a remainder.

1, 5, 31, 155, 491, 2455, 15221

Step-4: Factors of 76115

List of positive integer factors of 76115 that divides 76105 without a remainder.

1, 5, 13, 65, 1171, 5855, 15223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76105 and 76115. The biggest common factor number is the GCF number.
So the greatest common factor 76105 and 76115 is 5.

Also check out the Least Common Multiple of 76105 and 76115