What is the Greatest Common Factor of 78512 and 78528?

Greatest common factor (GCF) of 78512 and 78528 is 16.

GCF(78512,78528) = 16

We will now calculate the prime factors of 78512 and 78528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78512 and 78528.

How to find the GCF of 78512 and 78528?

We will first find the prime factorization of 78512 and 78528. After we will calculate the factors of 78512 and 78528 and find the biggest common factor number .

Step-1: Prime Factorization of 78512

Prime factors of 78512 are 2, 7, 701. Prime factorization of 78512 in exponential form is:

78512 = 2⁴ × 7¹ × 701¹

Step-2: 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-3: Factors of 78512

List of positive integer factors of 78512 that divides 78512 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 701, 1402, 2804, 4907, 5608, 9814, 11216, 19628, 39256

Step-4: Factors of 78528

List of positive integer factors of 78528 that divides 78512 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78512 and 78528. The biggest common factor number is the GCF number.
So the greatest common factor 78512 and 78528 is 16.

Also check out the Least Common Multiple of 78512 and 78528