What is the Greatest Common Factor of 78544 and 78556?

Greatest common factor (GCF) of 78544 and 78556 is 4.

GCF(78544,78556) = 4

We will now calculate the prime factors of 78544 and 78556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78544 and 78556.

How to find the GCF of 78544 and 78556?

We will first find the prime factorization of 78544 and 78556. After we will calculate the factors of 78544 and 78556 and find the biggest common factor number .

Step-1: Prime Factorization of 78544

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

78544 = 2⁴ × 4909¹

Step-2: Prime Factorization of 78556

Prime factors of 78556 are 2, 41, 479. Prime factorization of 78556 in exponential form is:

78556 = 2² × 41¹ × 479¹

Step-3: Factors of 78544

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

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

Step-4: Factors of 78556

List of positive integer factors of 78556 that divides 78544 without a remainder.

1, 2, 4, 41, 82, 164, 479, 958, 1916, 19639, 39278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78544 and 78556. The biggest common factor number is the GCF number.
So the greatest common factor 78544 and 78556 is 4.

Also check out the Least Common Multiple of 78544 and 78556