What is the Greatest Common Factor of 45174 and 45180?

Greatest common factor (GCF) of 45174 and 45180 is 6.

GCF(45174,45180) = 6

We will now calculate the prime factors of 45174 and 45180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45174 and 45180.

How to find the GCF of 45174 and 45180?

We will first find the prime factorization of 45174 and 45180. After we will calculate the factors of 45174 and 45180 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 45180

Prime factors of 45180 are 2, 3, 5, 251. Prime factorization of 45180 in exponential form is:

45180 = 2² × 3² × 5¹ × 251¹

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 45180

List of positive integer factors of 45180 that divides 45174 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 251, 502, 753, 1004, 1255, 1506, 2259, 2510, 3012, 3765, 4518, 5020, 7530, 9036, 11295, 15060, 22590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45174 and 45180. The biggest common factor number is the GCF number.
So the greatest common factor 45174 and 45180 is 6.

Also check out the Least Common Multiple of 45174 and 45180