What is the Greatest Common Factor of 78896 and 78905?

Greatest common factor (GCF) of 78896 and 78905 is 1.

GCF(78896,78905) = 1

We will now calculate the prime factors of 78896 and 78905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78896 and 78905.

How to find the GCF of 78896 and 78905?

We will first find the prime factorization of 78896 and 78905. After we will calculate the factors of 78896 and 78905 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 78905

Prime factors of 78905 are 5, 43, 367. Prime factorization of 78905 in exponential form is:

78905 = 5¹ × 43¹ × 367¹

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 78905

List of positive integer factors of 78905 that divides 78896 without a remainder.

1, 5, 43, 215, 367, 1835, 15781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78896 and 78905. The biggest common factor number is the GCF number.
So the greatest common factor 78896 and 78905 is 1.

Also check out the Least Common Multiple of 78896 and 78905