What is the Greatest Common Factor of 96816 and 96832?

Greatest common factor (GCF) of 96816 and 96832 is 16.

GCF(96816,96832) = 16

We will now calculate the prime factors of 96816 and 96832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96816 and 96832.

How to find the GCF of 96816 and 96832?

We will first find the prime factorization of 96816 and 96832. After we will calculate the factors of 96816 and 96832 and find the biggest common factor number .

Step-1: Prime Factorization of 96816

Prime factors of 96816 are 2, 3, 2017. Prime factorization of 96816 in exponential form is:

96816 = 2⁴ × 3¹ × 2017¹

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 96816

List of positive integer factors of 96816 that divides 96816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2017, 4034, 6051, 8068, 12102, 16136, 24204, 32272, 48408

Step-4: Factors of 96832

List of positive integer factors of 96832 that divides 96816 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 96816 and 96832. The biggest common factor number is the GCF number.
So the greatest common factor 96816 and 96832 is 16.

Also check out the Least Common Multiple of 96816 and 96832