What is the Greatest Common Factor of 96844 and 96862?

Greatest common factor (GCF) of 96844 and 96862 is 2.

GCF(96844,96862) = 2

We will now calculate the prime factors of 96844 and 96862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96844 and 96862.

How to find the GCF of 96844 and 96862?

We will first find the prime factorization of 96844 and 96862. After we will calculate the factors of 96844 and 96862 and find the biggest common factor number .

Step-1: Prime Factorization of 96844

Prime factors of 96844 are 2, 11, 31, 71. Prime factorization of 96844 in exponential form is:

96844 = 2² × 11¹ × 31¹ × 71¹

Step-2: Prime Factorization of 96862

Prime factors of 96862 are 2, 19, 2549. Prime factorization of 96862 in exponential form is:

96862 = 2¹ × 19¹ × 2549¹

Step-3: Factors of 96844

List of positive integer factors of 96844 that divides 96844 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 71, 124, 142, 284, 341, 682, 781, 1364, 1562, 2201, 3124, 4402, 8804, 24211, 48422

Step-4: Factors of 96862

List of positive integer factors of 96862 that divides 96844 without a remainder.

1, 2, 19, 38, 2549, 5098, 48431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96844 and 96862. The biggest common factor number is the GCF number.
So the greatest common factor 96844 and 96862 is 2.

Also check out the Least Common Multiple of 96844 and 96862