What is the Greatest Common Factor of 46128 and 46140?

Greatest common factor (GCF) of 46128 and 46140 is 12.

GCF(46128,46140) = 12

We will now calculate the prime factors of 46128 and 46140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46128 and 46140.

How to find the GCF of 46128 and 46140?

We will first find the prime factorization of 46128 and 46140. After we will calculate the factors of 46128 and 46140 and find the biggest common factor number .

Step-1: Prime Factorization of 46128

Prime factors of 46128 are 2, 3, 31. Prime factorization of 46128 in exponential form is:

46128 = 2⁴ × 3¹ × 31²

Step-2: Prime Factorization of 46140

Prime factors of 46140 are 2, 3, 5, 769. Prime factorization of 46140 in exponential form is:

46140 = 2² × 3¹ × 5¹ × 769¹

Step-3: Factors of 46128

List of positive integer factors of 46128 that divides 46128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 961, 1488, 1922, 2883, 3844, 5766, 7688, 11532, 15376, 23064

Step-4: Factors of 46140

List of positive integer factors of 46140 that divides 46128 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 769, 1538, 2307, 3076, 3845, 4614, 7690, 9228, 11535, 15380, 23070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46128 and 46140. The biggest common factor number is the GCF number.
So the greatest common factor 46128 and 46140 is 12.

Also check out the Least Common Multiple of 46128 and 46140