What is the Greatest Common Factor of 78528 and 78544?

Greatest common factor (GCF) of 78528 and 78544 is 16.

GCF(78528,78544) = 16

We will now calculate the prime factors of 78528 and 78544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78528 and 78544.

How to find the GCF of 78528 and 78544?

We will first find the prime factorization of 78528 and 78544. After we will calculate the factors of 78528 and 78544 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 78544

Prime factors of 78544 are 2, 4909. Prime factorization of 78544 in exponential form is:

78544 = 2⁴ × 4909¹

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 78544

List of positive integer factors of 78544 that divides 78528 without a remainder.

1, 2, 4, 8, 16, 4909, 9818, 19636, 39272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78528 and 78544. The biggest common factor number is the GCF number.
So the greatest common factor 78528 and 78544 is 16.

Also check out the Least Common Multiple of 78528 and 78544