What is the Greatest Common Factor of 45174 and 45182?

Greatest common factor (GCF) of 45174 and 45182 is 2.

GCF(45174,45182) = 2

We will now calculate the prime factors of 45174 and 45182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45174 and 45182.

How to find the GCF of 45174 and 45182?

We will first find the prime factorization of 45174 and 45182. After we will calculate the factors of 45174 and 45182 and find the biggest common factor number .

Step-1: Prime Factorization of 45174

Prime factors of 45174 are 2, 3, 7529. Prime factorization of 45174 in exponential form is:

45174 = 2¹ × 3¹ × 7529¹

Step-2: Prime Factorization of 45182

Prime factors of 45182 are 2, 19, 29, 41. Prime factorization of 45182 in exponential form is:

45182 = 2¹ × 19¹ × 29¹ × 41¹

Step-3: Factors of 45174

List of positive integer factors of 45174 that divides 45174 without a remainder.

1, 2, 3, 6, 7529, 15058, 22587

Step-4: Factors of 45182

List of positive integer factors of 45182 that divides 45174 without a remainder.

1, 2, 19, 29, 38, 41, 58, 82, 551, 779, 1102, 1189, 1558, 2378, 22591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45174 and 45182. The biggest common factor number is the GCF number.
So the greatest common factor 45174 and 45182 is 2.

Also check out the Least Common Multiple of 45174 and 45182