What is the Greatest Common Factor of 46158 and 46170?

Greatest common factor (GCF) of 46158 and 46170 is 6.

GCF(46158,46170) = 6

We will now calculate the prime factors of 46158 and 46170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46158 and 46170.

How to find the GCF of 46158 and 46170?

We will first find the prime factorization of 46158 and 46170. After we will calculate the factors of 46158 and 46170 and find the biggest common factor number .

Step-1: Prime Factorization of 46158

Prime factors of 46158 are 2, 3, 7, 157. Prime factorization of 46158 in exponential form is:

46158 = 2¹ × 3¹ × 7² × 157¹

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 46158

List of positive integer factors of 46158 that divides 46158 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 157, 294, 314, 471, 942, 1099, 2198, 3297, 6594, 7693, 15386, 23079

Step-4: Factors of 46170

List of positive integer factors of 46170 that divides 46158 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 46158 and 46170. The biggest common factor number is the GCF number.
So the greatest common factor 46158 and 46170 is 6.

Also check out the Least Common Multiple of 46158 and 46170