What is the Greatest Common Factor of 96921 and 96933?

Greatest common factor (GCF) of 96921 and 96933 is 3.

GCF(96921,96933) = 3

We will now calculate the prime factors of 96921 and 96933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96921 and 96933.

How to find the GCF of 96921 and 96933?

We will first find the prime factorization of 96921 and 96933. After we will calculate the factors of 96921 and 96933 and find the biggest common factor number .

Step-1: Prime Factorization of 96921

Prime factors of 96921 are 3, 11, 89. Prime factorization of 96921 in exponential form is:

96921 = 3² × 11² × 89¹

Step-2: Prime Factorization of 96933

Prime factors of 96933 are 3, 79, 409. Prime factorization of 96933 in exponential form is:

96933 = 3¹ × 79¹ × 409¹

Step-3: Factors of 96921

List of positive integer factors of 96921 that divides 96921 without a remainder.

1, 3, 9, 11, 33, 89, 99, 121, 267, 363, 801, 979, 1089, 2937, 8811, 10769, 32307

Step-4: Factors of 96933

List of positive integer factors of 96933 that divides 96921 without a remainder.

1, 3, 79, 237, 409, 1227, 32311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96921 and 96933. The biggest common factor number is the GCF number.
So the greatest common factor 96921 and 96933 is 3.

Also check out the Least Common Multiple of 96921 and 96933