What is the Greatest Common Factor of 76115 and 76128?

Greatest common factor (GCF) of 76115 and 76128 is 13.

GCF(76115,76128) = 13

We will now calculate the prime factors of 76115 and 76128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76115 and 76128.

How to find the GCF of 76115 and 76128?

We will first find the prime factorization of 76115 and 76128. After we will calculate the factors of 76115 and 76128 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76128

Prime factors of 76128 are 2, 3, 13, 61. Prime factorization of 76128 in exponential form is:

76128 = 2⁵ × 3¹ × 13¹ × 61¹

Step-3: Factors of 76115

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

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

Step-4: Factors of 76128

List of positive integer factors of 76128 that divides 76115 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 61, 78, 96, 104, 122, 156, 183, 208, 244, 312, 366, 416, 488, 624, 732, 793, 976, 1248, 1464, 1586, 1952, 2379, 2928, 3172, 4758, 5856, 6344, 9516, 12688, 19032, 25376, 38064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76115 and 76128. The biggest common factor number is the GCF number.
So the greatest common factor 76115 and 76128 is 13.

Also check out the Least Common Multiple of 76115 and 76128