What is the Greatest Common Factor of 46096 and 46112?

Greatest common factor (GCF) of 46096 and 46112 is 16.

GCF(46096,46112) = 16

We will now calculate the prime factors of 46096 and 46112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46096 and 46112.

How to find the GCF of 46096 and 46112?

We will first find the prime factorization of 46096 and 46112. After we will calculate the factors of 46096 and 46112 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46112

Prime factors of 46112 are 2, 11, 131. Prime factorization of 46112 in exponential form is:

46112 = 2⁵ × 11¹ × 131¹

Step-3: Factors of 46096

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

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

Step-4: Factors of 46112

List of positive integer factors of 46112 that divides 46096 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 131, 176, 262, 352, 524, 1048, 1441, 2096, 2882, 4192, 5764, 11528, 23056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46096 and 46112. The biggest common factor number is the GCF number.
So the greatest common factor 46096 and 46112 is 16.

Also check out the Least Common Multiple of 46096 and 46112