What is the Greatest Common Factor of 78528 and 78543?

Greatest common factor (GCF) of 78528 and 78543 is 3.

GCF(78528,78543) = 3

We will now calculate the prime factors of 78528 and 78543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78528 and 78543.

How to find the GCF of 78528 and 78543?

We will first find the prime factorization of 78528 and 78543. After we will calculate the factors of 78528 and 78543 and find the biggest common factor number .

Step-1: Prime Factorization of 78528

Prime factors of 78528 are 2, 3, 409. Prime factorization of 78528 in exponential form is:

78528 = 2⁶ × 3¹ × 409¹

Step-2: Prime Factorization of 78543

Prime factors of 78543 are 3, 2909. Prime factorization of 78543 in exponential form is:

78543 = 3³ × 2909¹

Step-3: Factors of 78528

List of positive integer factors of 78528 that divides 78528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 409, 818, 1227, 1636, 2454, 3272, 4908, 6544, 9816, 13088, 19632, 26176, 39264

Step-4: Factors of 78543

List of positive integer factors of 78543 that divides 78528 without a remainder.

1, 3, 9, 27, 2909, 8727, 26181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78528 and 78543. The biggest common factor number is the GCF number.
So the greatest common factor 78528 and 78543 is 3.

Also check out the Least Common Multiple of 78528 and 78543