What is the Greatest Common Factor of 46160 and 46176?

Greatest common factor (GCF) of 46160 and 46176 is 16.

GCF(46160,46176) = 16

We will now calculate the prime factors of 46160 and 46176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46160 and 46176.

How to find the GCF of 46160 and 46176?

We will first find the prime factorization of 46160 and 46176. After we will calculate the factors of 46160 and 46176 and find the biggest common factor number .

Step-1: Prime Factorization of 46160

Prime factors of 46160 are 2, 5, 577. Prime factorization of 46160 in exponential form is:

46160 = 2⁴ × 5¹ × 577¹

Step-2: 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-3: Factors of 46160

List of positive integer factors of 46160 that divides 46160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 577, 1154, 2308, 2885, 4616, 5770, 9232, 11540, 23080

Step-4: Factors of 46176

List of positive integer factors of 46176 that divides 46160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46160 and 46176. The biggest common factor number is the GCF number.
So the greatest common factor 46160 and 46176 is 16.

Also check out the Least Common Multiple of 46160 and 46176