What is the Greatest Common Factor of 46140 and 46160?

Greatest common factor (GCF) of 46140 and 46160 is 20.

GCF(46140,46160) = 20

We will now calculate the prime factors of 46140 and 46160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46140 and 46160.

How to find the GCF of 46140 and 46160?

We will first find the prime factorization of 46140 and 46160. After we will calculate the factors of 46140 and 46160 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 46140

List of positive integer factors of 46140 that divides 46140 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

Step-4: Factors of 46160

List of positive integer factors of 46160 that divides 46140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46140 and 46160. The biggest common factor number is the GCF number.
So the greatest common factor 46140 and 46160 is 20.

Also check out the Least Common Multiple of 46140 and 46160