What is the Greatest Common Factor of 78522 and 78536?

Greatest common factor (GCF) of 78522 and 78536 is 2.

GCF(78522,78536) = 2

We will now calculate the prime factors of 78522 and 78536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78522 and 78536.

How to find the GCF of 78522 and 78536?

We will first find the prime factorization of 78522 and 78536. After we will calculate the factors of 78522 and 78536 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 78536

Prime factors of 78536 are 2, 9817. Prime factorization of 78536 in exponential form is:

78536 = 2³ × 9817¹

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 78536

List of positive integer factors of 78536 that divides 78522 without a remainder.

1, 2, 4, 8, 9817, 19634, 39268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78522 and 78536. The biggest common factor number is the GCF number.
So the greatest common factor 78522 and 78536 is 2.

Also check out the Least Common Multiple of 78522 and 78536