What is the Greatest Common Factor of 46112 and 46129?

Greatest common factor (GCF) of 46112 and 46129 is 1.

GCF(46112,46129) = 1

We will now calculate the prime factors of 46112 and 46129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46112 and 46129.

How to find the GCF of 46112 and 46129?

We will first find the prime factorization of 46112 and 46129. After we will calculate the factors of 46112 and 46129 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 46129

Prime factors of 46129 are 163, 283. Prime factorization of 46129 in exponential form is:

46129 = 163¹ × 283¹

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 46129

List of positive integer factors of 46129 that divides 46112 without a remainder.

1, 163, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46112 and 46129. The biggest common factor number is the GCF number.
So the greatest common factor 46112 and 46129 is 1.

Also check out the Least Common Multiple of 46112 and 46129