What is the Greatest Common Factor of 84096 and 84111?

Greatest common factor (GCF) of 84096 and 84111 is 3.

GCF(84096,84111) = 3

We will now calculate the prime factors of 84096 and 84111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84096 and 84111.

How to find the GCF of 84096 and 84111?

We will first find the prime factorization of 84096 and 84111. After we will calculate the factors of 84096 and 84111 and find the biggest common factor number .

Step-1: Prime Factorization of 84096

Prime factors of 84096 are 2, 3, 73. Prime factorization of 84096 in exponential form is:

84096 = 2⁷ × 3² × 73¹

Step-2: Prime Factorization of 84111

Prime factors of 84111 are 3, 23, 53. Prime factorization of 84111 in exponential form is:

84111 = 3¹ × 23² × 53¹

Step-3: Factors of 84096

List of positive integer factors of 84096 that divides 84096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 73, 96, 128, 144, 146, 192, 219, 288, 292, 384, 438, 576, 584, 657, 876, 1152, 1168, 1314, 1752, 2336, 2628, 3504, 4672, 5256, 7008, 9344, 10512, 14016, 21024, 28032, 42048

Step-4: Factors of 84111

List of positive integer factors of 84111 that divides 84096 without a remainder.

1, 3, 23, 53, 69, 159, 529, 1219, 1587, 3657, 28037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84096 and 84111. The biggest common factor number is the GCF number.
So the greatest common factor 84096 and 84111 is 3.

Also check out the Least Common Multiple of 84096 and 84111