What is the Greatest Common Factor of 78512 and 78522?

Greatest common factor (GCF) of 78512 and 78522 is 2.

GCF(78512,78522) = 2

We will now calculate the prime factors of 78512 and 78522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78512 and 78522.

How to find the GCF of 78512 and 78522?

We will first find the prime factorization of 78512 and 78522. After we will calculate the factors of 78512 and 78522 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 78522

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

78522 = 2¹ × 3¹ × 23¹ × 569¹

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 78522

List of positive integer factors of 78522 that divides 78512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78512 and 78522. The biggest common factor number is the GCF number.
So the greatest common factor 78512 and 78522 is 2.

Also check out the Least Common Multiple of 78512 and 78522