What is the Greatest Common Factor of 46112 and 46128?

Greatest common factor (GCF) of 46112 and 46128 is 16.

GCF(46112,46128) = 16

We will now calculate the prime factors of 46112 and 46128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46112 and 46128.

How to find the GCF of 46112 and 46128?

We will first find the prime factorization of 46112 and 46128. After we will calculate the factors of 46112 and 46128 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46128

Prime factors of 46128 are 2, 3, 31. Prime factorization of 46128 in exponential form is:

46128 = 2⁴ × 3¹ × 31²

Step-3: Factors of 46112

List of positive integer factors of 46112 that divides 46112 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

Step-4: Factors of 46128

List of positive integer factors of 46128 that divides 46112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 961, 1488, 1922, 2883, 3844, 5766, 7688, 11532, 15376, 23064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46112 and 46128. The biggest common factor number is the GCF number.
So the greatest common factor 46112 and 46128 is 16.

Also check out the Least Common Multiple of 46112 and 46128