What is the Greatest Common Factor of 46160 and 46170?

Greatest common factor (GCF) of 46160 and 46170 is 10.

GCF(46160,46170) = 10

We will now calculate the prime factors of 46160 and 46170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46160 and 46170.

How to find the GCF of 46160 and 46170?

We will first find the prime factorization of 46160 and 46170. After we will calculate the factors of 46160 and 46170 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 46170

Prime factors of 46170 are 2, 3, 5, 19. Prime factorization of 46170 in exponential form is:

46170 = 2¹ × 3⁵ × 5¹ × 19¹

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 46170

List of positive integer factors of 46170 that divides 46160 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 81, 90, 95, 114, 135, 162, 171, 190, 243, 270, 285, 342, 405, 486, 513, 570, 810, 855, 1026, 1215, 1539, 1710, 2430, 2565, 3078, 4617, 5130, 7695, 9234, 15390, 23085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46160 and 46170. The biggest common factor number is the GCF number.
So the greatest common factor 46160 and 46170 is 10.

Also check out the Least Common Multiple of 46160 and 46170