What is the Greatest Common Factor of 96828 and 96832?

Greatest common factor (GCF) of 96828 and 96832 is 4.

GCF(96828,96832) = 4

We will now calculate the prime factors of 96828 and 96832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96828 and 96832.

How to find the GCF of 96828 and 96832?

We will first find the prime factorization of 96828 and 96832. After we will calculate the factors of 96828 and 96832 and find the biggest common factor number .

Step-1: Prime Factorization of 96828

Prime factors of 96828 are 2, 3, 8069. Prime factorization of 96828 in exponential form is:

96828 = 2² × 3¹ × 8069¹

Step-2: Prime Factorization of 96832

Prime factors of 96832 are 2, 17, 89. Prime factorization of 96832 in exponential form is:

96832 = 2⁶ × 17¹ × 89¹

Step-3: Factors of 96828

List of positive integer factors of 96828 that divides 96828 without a remainder.

1, 2, 3, 4, 6, 12, 8069, 16138, 24207, 32276, 48414

Step-4: Factors of 96832

List of positive integer factors of 96832 that divides 96828 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 89, 136, 178, 272, 356, 544, 712, 1088, 1424, 1513, 2848, 3026, 5696, 6052, 12104, 24208, 48416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96828 and 96832. The biggest common factor number is the GCF number.
So the greatest common factor 96828 and 96832 is 4.

Also check out the Least Common Multiple of 96828 and 96832