What is the Greatest Common Factor of 96874 and 96878?

Greatest common factor (GCF) of 96874 and 96878 is 2.

GCF(96874,96878) = 2

We will now calculate the prime factors of 96874 and 96878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96874 and 96878.

How to find the GCF of 96874 and 96878?

We will first find the prime factorization of 96874 and 96878. After we will calculate the factors of 96874 and 96878 and find the biggest common factor number .

Step-1: Prime Factorization of 96874

Prime factors of 96874 are 2, 48437. Prime factorization of 96874 in exponential form is:

96874 = 2¹ × 48437¹

Step-2: Prime Factorization of 96878

Prime factors of 96878 are 2, 59, 821. Prime factorization of 96878 in exponential form is:

96878 = 2¹ × 59¹ × 821¹

Step-3: Factors of 96874

List of positive integer factors of 96874 that divides 96874 without a remainder.

1, 2, 48437

Step-4: Factors of 96878

List of positive integer factors of 96878 that divides 96874 without a remainder.

1, 2, 59, 118, 821, 1642, 48439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96874 and 96878. The biggest common factor number is the GCF number.
So the greatest common factor 96874 and 96878 is 2.

Also check out the Least Common Multiple of 96874 and 96878