What is the Greatest Common Factor of 49170 and 49185?

Greatest common factor (GCF) of 49170 and 49185 is 15.

GCF(49170,49185) = 15

We will now calculate the prime factors of 49170 and 49185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49170 and 49185.

How to find the GCF of 49170 and 49185?

We will first find the prime factorization of 49170 and 49185. After we will calculate the factors of 49170 and 49185 and find the biggest common factor number .

Step-1: Prime Factorization of 49170

Prime factors of 49170 are 2, 3, 5, 11, 149. Prime factorization of 49170 in exponential form is:

49170 = 2¹ × 3¹ × 5¹ × 11¹ × 149¹

Step-2: Prime Factorization of 49185

Prime factors of 49185 are 3, 5, 1093. Prime factorization of 49185 in exponential form is:

49185 = 3² × 5¹ × 1093¹

Step-3: Factors of 49170

List of positive integer factors of 49170 that divides 49170 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 149, 165, 298, 330, 447, 745, 894, 1490, 1639, 2235, 3278, 4470, 4917, 8195, 9834, 16390, 24585

Step-4: Factors of 49185

List of positive integer factors of 49185 that divides 49170 without a remainder.

1, 3, 5, 9, 15, 45, 1093, 3279, 5465, 9837, 16395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49170 and 49185. The biggest common factor number is the GCF number.
So the greatest common factor 49170 and 49185 is 15.

Also check out the Least Common Multiple of 49170 and 49185