What is the Greatest Common Factor of 46112 and 46131?

Greatest common factor (GCF) of 46112 and 46131 is 1.

GCF(46112,46131) = 1

We will now calculate the prime factors of 46112 and 46131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46112 and 46131.

How to find the GCF of 46112 and 46131?

We will first find the prime factorization of 46112 and 46131. After we will calculate the factors of 46112 and 46131 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 46131

Prime factors of 46131 are 3, 15377. Prime factorization of 46131 in exponential form is:

46131 = 3¹ × 15377¹

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 46131

List of positive integer factors of 46131 that divides 46112 without a remainder.

1, 3, 15377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46112 and 46131. The biggest common factor number is the GCF number.
So the greatest common factor 46112 and 46131 is 1.

Also check out the Least Common Multiple of 46112 and 46131