What is the Greatest Common Factor of 78522 and 78528?

Greatest common factor (GCF) of 78522 and 78528 is 6.

GCF(78522,78528) = 6

We will now calculate the prime factors of 78522 and 78528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78522 and 78528.

How to find the GCF of 78522 and 78528?

We will first find the prime factorization of 78522 and 78528. After we will calculate the factors of 78522 and 78528 and find the biggest common factor number .

Step-1: Prime Factorization of 78522

Prime factors of 78522 are 2, 3, 23, 569. Prime factorization of 78522 in exponential form is:

78522 = 2¹ × 3¹ × 23¹ × 569¹

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 78522

List of positive integer factors of 78522 that divides 78522 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 569, 1138, 1707, 3414, 13087, 26174, 39261

Step-4: Factors of 78528

List of positive integer factors of 78528 that divides 78522 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 78522 and 78528. The biggest common factor number is the GCF number.
So the greatest common factor 78522 and 78528 is 6.

Also check out the Least Common Multiple of 78522 and 78528