What is the Greatest Common Factor of 84080 and 84096?

Greatest common factor (GCF) of 84080 and 84096 is 16.

GCF(84080,84096) = 16

We will now calculate the prime factors of 84080 and 84096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84080 and 84096.

How to find the GCF of 84080 and 84096?

We will first find the prime factorization of 84080 and 84096. After we will calculate the factors of 84080 and 84096 and find the biggest common factor number .

Step-1: Prime Factorization of 84080

Prime factors of 84080 are 2, 5, 1051. Prime factorization of 84080 in exponential form is:

84080 = 2⁴ × 5¹ × 1051¹

Step-2: 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-3: Factors of 84080

List of positive integer factors of 84080 that divides 84080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1051, 2102, 4204, 5255, 8408, 10510, 16816, 21020, 42040

Step-4: Factors of 84096

List of positive integer factors of 84096 that divides 84080 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84080 and 84096. The biggest common factor number is the GCF number.
So the greatest common factor 84080 and 84096 is 16.

Also check out the Least Common Multiple of 84080 and 84096