What is the Greatest Common Factor of 46112 and 46132?

Greatest common factor (GCF) of 46112 and 46132 is 4.

GCF(46112,46132) = 4

We will now calculate the prime factors of 46112 and 46132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46112 and 46132.

How to find the GCF of 46112 and 46132?

We will first find the prime factorization of 46112 and 46132. After we will calculate the factors of 46112 and 46132 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 46132

Prime factors of 46132 are 2, 19, 607. Prime factorization of 46132 in exponential form is:

46132 = 2² × 19¹ × 607¹

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 46132

List of positive integer factors of 46132 that divides 46112 without a remainder.

1, 2, 4, 19, 38, 76, 607, 1214, 2428, 11533, 23066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46112 and 46132. The biggest common factor number is the GCF number.
So the greatest common factor 46112 and 46132 is 4.

Also check out the Least Common Multiple of 46112 and 46132