What is the Greatest Common Factor of 78128 and 78132?

Greatest common factor (GCF) of 78128 and 78132 is 4.

GCF(78128,78132) = 4

We will now calculate the prime factors of 78128 and 78132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78128 and 78132.

How to find the GCF of 78128 and 78132?

We will first find the prime factorization of 78128 and 78132. After we will calculate the factors of 78128 and 78132 and find the biggest common factor number .

Step-1: Prime Factorization of 78128

Prime factors of 78128 are 2, 19, 257. Prime factorization of 78128 in exponential form is:

78128 = 2⁴ × 19¹ × 257¹

Step-2: Prime Factorization of 78132

Prime factors of 78132 are 2, 3, 17, 383. Prime factorization of 78132 in exponential form is:

78132 = 2² × 3¹ × 17¹ × 383¹

Step-3: Factors of 78128

List of positive integer factors of 78128 that divides 78128 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 257, 304, 514, 1028, 2056, 4112, 4883, 9766, 19532, 39064

Step-4: Factors of 78132

List of positive integer factors of 78132 that divides 78128 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 383, 766, 1149, 1532, 2298, 4596, 6511, 13022, 19533, 26044, 39066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78128 and 78132. The biggest common factor number is the GCF number.
So the greatest common factor 78128 and 78132 is 4.

Also check out the Least Common Multiple of 78128 and 78132