What is the Greatest Common Factor of 96815 and 96832?

Greatest common factor (GCF) of 96815 and 96832 is 17.

GCF(96815,96832) = 17

We will now calculate the prime factors of 96815 and 96832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96815 and 96832.

How to find the GCF of 96815 and 96832?

We will first find the prime factorization of 96815 and 96832. After we will calculate the factors of 96815 and 96832 and find the biggest common factor number .

Step-1: Prime Factorization of 96815

Prime factors of 96815 are 5, 17, 67. Prime factorization of 96815 in exponential form is:

96815 = 5¹ × 17² × 67¹

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 96815

List of positive integer factors of 96815 that divides 96815 without a remainder.

1, 5, 17, 67, 85, 289, 335, 1139, 1445, 5695, 19363

Step-4: Factors of 96832

List of positive integer factors of 96832 that divides 96815 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 96815 and 96832. The biggest common factor number is the GCF number.
So the greatest common factor 96815 and 96832 is 17.

Also check out the Least Common Multiple of 96815 and 96832