What is the Greatest Common Factor of 46170 and 46190?

Greatest common factor (GCF) of 46170 and 46190 is 10.

GCF(46170,46190) = 10

We will now calculate the prime factors of 46170 and 46190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46170 and 46190.

How to find the GCF of 46170 and 46190?

We will first find the prime factorization of 46170 and 46190. After we will calculate the factors of 46170 and 46190 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46190

Prime factors of 46190 are 2, 5, 31, 149. Prime factorization of 46190 in exponential form is:

46190 = 2¹ × 5¹ × 31¹ × 149¹

Step-3: Factors of 46170

List of positive integer factors of 46170 that divides 46170 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

Step-4: Factors of 46190

List of positive integer factors of 46190 that divides 46170 without a remainder.

1, 2, 5, 10, 31, 62, 149, 155, 298, 310, 745, 1490, 4619, 9238, 23095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46170 and 46190. The biggest common factor number is the GCF number.
So the greatest common factor 46170 and 46190 is 10.

Also check out the Least Common Multiple of 46170 and 46190