What is the Greatest Common Factor of 46175 and 46190?

Greatest common factor (GCF) of 46175 and 46190 is 5.

GCF(46175,46190) = 5

We will now calculate the prime factors of 46175 and 46190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46175 and 46190.

How to find the GCF of 46175 and 46190?

We will first find the prime factorization of 46175 and 46190. After we will calculate the factors of 46175 and 46190 and find the biggest common factor number .

Step-1: Prime Factorization of 46175

Prime factors of 46175 are 5, 1847. Prime factorization of 46175 in exponential form is:

46175 = 5² × 1847¹

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 46175

List of positive integer factors of 46175 that divides 46175 without a remainder.

1, 5, 25, 1847, 9235

Step-4: Factors of 46190

List of positive integer factors of 46190 that divides 46175 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 46175 and 46190. The biggest common factor number is the GCF number.
So the greatest common factor 46175 and 46190 is 5.

Also check out the Least Common Multiple of 46175 and 46190