What is the Greatest Common Factor of 96844 and 96848?

Greatest common factor (GCF) of 96844 and 96848 is 4.

GCF(96844,96848) = 4

We will now calculate the prime factors of 96844 and 96848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96844 and 96848.

How to find the GCF of 96844 and 96848?

We will first find the prime factorization of 96844 and 96848. After we will calculate the factors of 96844 and 96848 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 96848

Prime factors of 96848 are 2, 6053. Prime factorization of 96848 in exponential form is:

96848 = 2⁴ × 6053¹

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 96848

List of positive integer factors of 96848 that divides 96844 without a remainder.

1, 2, 4, 8, 16, 6053, 12106, 24212, 48424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96844 and 96848. The biggest common factor number is the GCF number.
So the greatest common factor 96844 and 96848 is 4.

Also check out the Least Common Multiple of 96844 and 96848