What is the Greatest Common Factor of 96874 and 96880?

Greatest common factor (GCF) of 96874 and 96880 is 2.

GCF(96874,96880) = 2

We will now calculate the prime factors of 96874 and 96880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96874 and 96880.

How to find the GCF of 96874 and 96880?

We will first find the prime factorization of 96874 and 96880. After we will calculate the factors of 96874 and 96880 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 96880

Prime factors of 96880 are 2, 5, 7, 173. Prime factorization of 96880 in exponential form is:

96880 = 2⁴ × 5¹ × 7¹ × 173¹

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 96880

List of positive integer factors of 96880 that divides 96874 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 173, 280, 346, 560, 692, 865, 1211, 1384, 1730, 2422, 2768, 3460, 4844, 6055, 6920, 9688, 12110, 13840, 19376, 24220, 48440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96874 and 96880. The biggest common factor number is the GCF number.
So the greatest common factor 96874 and 96880 is 2.

Also check out the Least Common Multiple of 96874 and 96880