What is the Greatest Common Factor of 46176 and 46192?

Greatest common factor (GCF) of 46176 and 46192 is 16.

GCF(46176,46192) = 16

We will now calculate the prime factors of 46176 and 46192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46176 and 46192.

How to find the GCF of 46176 and 46192?

We will first find the prime factorization of 46176 and 46192. After we will calculate the factors of 46176 and 46192 and find the biggest common factor number .

Step-1: Prime Factorization of 46176

Prime factors of 46176 are 2, 3, 13, 37. Prime factorization of 46176 in exponential form is:

46176 = 2⁵ × 3¹ × 13¹ × 37¹

Step-2: Prime Factorization of 46192

Prime factors of 46192 are 2, 2887. Prime factorization of 46192 in exponential form is:

46192 = 2⁴ × 2887¹

Step-3: Factors of 46176

List of positive integer factors of 46176 that divides 46176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 37, 39, 48, 52, 74, 78, 96, 104, 111, 148, 156, 208, 222, 296, 312, 416, 444, 481, 592, 624, 888, 962, 1184, 1248, 1443, 1776, 1924, 2886, 3552, 3848, 5772, 7696, 11544, 15392, 23088

Step-4: Factors of 46192

List of positive integer factors of 46192 that divides 46176 without a remainder.

1, 2, 4, 8, 16, 2887, 5774, 11548, 23096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46176 and 46192. The biggest common factor number is the GCF number.
So the greatest common factor 46176 and 46192 is 16.

Also check out the Least Common Multiple of 46176 and 46192