What is the Greatest Common Factor of 78896 and 78908?

Greatest common factor (GCF) of 78896 and 78908 is 4.

GCF(78896,78908) = 4

We will now calculate the prime factors of 78896 and 78908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78896 and 78908.

How to find the GCF of 78896 and 78908?

We will first find the prime factorization of 78896 and 78908. After we will calculate the factors of 78896 and 78908 and find the biggest common factor number .

Step-1: Prime Factorization of 78896

Prime factors of 78896 are 2, 4931. Prime factorization of 78896 in exponential form is:

78896 = 2⁴ × 4931¹

Step-2: Prime Factorization of 78908

Prime factors of 78908 are 2, 19727. Prime factorization of 78908 in exponential form is:

78908 = 2² × 19727¹

Step-3: Factors of 78896

List of positive integer factors of 78896 that divides 78896 without a remainder.

1, 2, 4, 8, 16, 4931, 9862, 19724, 39448

Step-4: Factors of 78908

List of positive integer factors of 78908 that divides 78896 without a remainder.

1, 2, 4, 19727, 39454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78896 and 78908. The biggest common factor number is the GCF number.
So the greatest common factor 78896 and 78908 is 4.

Also check out the Least Common Multiple of 78896 and 78908