What is the Greatest Common Factor of 46174 and 46182?

Greatest common factor (GCF) of 46174 and 46182 is 2.

GCF(46174,46182) = 2

We will now calculate the prime factors of 46174 and 46182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46174 and 46182.

How to find the GCF of 46174 and 46182?

We will first find the prime factorization of 46174 and 46182. After we will calculate the factors of 46174 and 46182 and find the biggest common factor number .

Step-1: Prime Factorization of 46174

Prime factors of 46174 are 2, 23087. Prime factorization of 46174 in exponential form is:

46174 = 2¹ × 23087¹

Step-2: Prime Factorization of 46182

Prime factors of 46182 are 2, 3, 43, 179. Prime factorization of 46182 in exponential form is:

46182 = 2¹ × 3¹ × 43¹ × 179¹

Step-3: Factors of 46174

List of positive integer factors of 46174 that divides 46174 without a remainder.

1, 2, 23087

Step-4: Factors of 46182

List of positive integer factors of 46182 that divides 46174 without a remainder.

1, 2, 3, 6, 43, 86, 129, 179, 258, 358, 537, 1074, 7697, 15394, 23091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46174 and 46182. The biggest common factor number is the GCF number.
So the greatest common factor 46174 and 46182 is 2.

Also check out the Least Common Multiple of 46174 and 46182