What is the Greatest Common Factor of 46080 and 46096?

Greatest common factor (GCF) of 46080 and 46096 is 16.

GCF(46080,46096) = 16

We will now calculate the prime factors of 46080 and 46096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46080 and 46096.

How to find the GCF of 46080 and 46096?

We will first find the prime factorization of 46080 and 46096. After we will calculate the factors of 46080 and 46096 and find the biggest common factor number .

Step-1: Prime Factorization of 46080

Prime factors of 46080 are 2, 3, 5. Prime factorization of 46080 in exponential form is:

46080 = 2¹⁰ × 3² × 5¹

Step-2: Prime Factorization of 46096

Prime factors of 46096 are 2, 43, 67. Prime factorization of 46096 in exponential form is:

46096 = 2⁴ × 43¹ × 67¹

Step-3: Factors of 46080

List of positive integer factors of 46080 that divides 46080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 512, 576, 640, 720, 768, 960, 1024, 1152, 1280, 1440, 1536, 1920, 2304, 2560, 2880, 3072, 3840, 4608, 5120, 5760, 7680, 9216, 11520, 15360, 23040

Step-4: Factors of 46096

List of positive integer factors of 46096 that divides 46080 without a remainder.

1, 2, 4, 8, 16, 43, 67, 86, 134, 172, 268, 344, 536, 688, 1072, 2881, 5762, 11524, 23048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46080 and 46096. The biggest common factor number is the GCF number.
So the greatest common factor 46080 and 46096 is 16.

Also check out the Least Common Multiple of 46080 and 46096