What is the Greatest Common Factor of 96874 and 96884?

Greatest common factor (GCF) of 96874 and 96884 is 2.

GCF(96874,96884) = 2

We will now calculate the prime factors of 96874 and 96884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96874 and 96884.

How to find the GCF of 96874 and 96884?

We will first find the prime factorization of 96874 and 96884. After we will calculate the factors of 96874 and 96884 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 96884

Prime factors of 96884 are 2, 53, 457. Prime factorization of 96884 in exponential form is:

96884 = 2² × 53¹ × 457¹

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 96884

List of positive integer factors of 96884 that divides 96874 without a remainder.

1, 2, 4, 53, 106, 212, 457, 914, 1828, 24221, 48442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96874 and 96884. The biggest common factor number is the GCF number.
So the greatest common factor 96874 and 96884 is 2.

Also check out the Least Common Multiple of 96874 and 96884