What is the Greatest Common Factor of 76128 and 76132?

Greatest common factor (GCF) of 76128 and 76132 is 4.

GCF(76128,76132) = 4

We will now calculate the prime factors of 76128 and 76132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76128 and 76132.

How to find the GCF of 76128 and 76132?

We will first find the prime factorization of 76128 and 76132. After we will calculate the factors of 76128 and 76132 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76132

Prime factors of 76132 are 2, 7, 2719. Prime factorization of 76132 in exponential form is:

76132 = 2² × 7¹ × 2719¹

Step-3: Factors of 76128

List of positive integer factors of 76128 that divides 76128 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

Step-4: Factors of 76132

List of positive integer factors of 76132 that divides 76128 without a remainder.

1, 2, 4, 7, 14, 28, 2719, 5438, 10876, 19033, 38066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76128 and 76132. The biggest common factor number is the GCF number.
So the greatest common factor 76128 and 76132 is 4.

Also check out the Least Common Multiple of 76128 and 76132