What is the Greatest Common Factor of 78896 and 78906?

Greatest common factor (GCF) of 78896 and 78906 is 2.

GCF(78896,78906) = 2

We will now calculate the prime factors of 78896 and 78906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78896 and 78906.

How to find the GCF of 78896 and 78906?

We will first find the prime factorization of 78896 and 78906. After we will calculate the factors of 78896 and 78906 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 78906

Prime factors of 78906 are 2, 3, 13151. Prime factorization of 78906 in exponential form is:

78906 = 2¹ × 3¹ × 13151¹

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 78906

List of positive integer factors of 78906 that divides 78896 without a remainder.

1, 2, 3, 6, 13151, 26302, 39453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78896 and 78906. The biggest common factor number is the GCF number.
So the greatest common factor 78896 and 78906 is 2.

Also check out the Least Common Multiple of 78896 and 78906