What is the Greatest Common Factor of 46112 and 46123?

Greatest common factor (GCF) of 46112 and 46123 is 11.

GCF(46112,46123) = 11

We will now calculate the prime factors of 46112 and 46123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46112 and 46123.

How to find the GCF of 46112 and 46123?

We will first find the prime factorization of 46112 and 46123. After we will calculate the factors of 46112 and 46123 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 46123

Prime factors of 46123 are 7, 11, 599. Prime factorization of 46123 in exponential form is:

46123 = 7¹ × 11¹ × 599¹

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 46123

List of positive integer factors of 46123 that divides 46112 without a remainder.

1, 7, 11, 77, 599, 4193, 6589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46112 and 46123. The biggest common factor number is the GCF number.
So the greatest common factor 46112 and 46123 is 11.

Also check out the Least Common Multiple of 46112 and 46123