What is the Greatest Common Factor of 45171 and 45189?

Greatest common factor (GCF) of 45171 and 45189 is 9.

GCF(45171,45189) = 9

We will now calculate the prime factors of 45171 and 45189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45171 and 45189.

How to find the GCF of 45171 and 45189?

We will first find the prime factorization of 45171 and 45189. After we will calculate the factors of 45171 and 45189 and find the biggest common factor number .

Step-1: Prime Factorization of 45171

Prime factors of 45171 are 3, 7, 239. Prime factorization of 45171 in exponential form is:

45171 = 3³ × 7¹ × 239¹

Step-2: Prime Factorization of 45189

Prime factors of 45189 are 3, 5021. Prime factorization of 45189 in exponential form is:

45189 = 3² × 5021¹

Step-3: Factors of 45171

List of positive integer factors of 45171 that divides 45171 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 239, 717, 1673, 2151, 5019, 6453, 15057

Step-4: Factors of 45189

List of positive integer factors of 45189 that divides 45171 without a remainder.

1, 3, 9, 5021, 15063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45171 and 45189. The biggest common factor number is the GCF number.
So the greatest common factor 45171 and 45189 is 9.

Also check out the Least Common Multiple of 45171 and 45189