What is the Greatest Common Factor of 45189 and 45201?

Greatest common factor (GCF) of 45189 and 45201 is 3.

GCF(45189,45201) = 3

We will now calculate the prime factors of 45189 and 45201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45189 and 45201.

How to find the GCF of 45189 and 45201?

We will first find the prime factorization of 45189 and 45201. After we will calculate the factors of 45189 and 45201 and find the biggest common factor number .

Step-1: Prime Factorization of 45189

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

45189 = 3² × 5021¹

Step-2: Prime Factorization of 45201

Prime factors of 45201 are 3, 13, 19, 61. Prime factorization of 45201 in exponential form is:

45201 = 3¹ × 13¹ × 19¹ × 61¹

Step-3: Factors of 45189

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

1, 3, 9, 5021, 15063

Step-4: Factors of 45201

List of positive integer factors of 45201 that divides 45189 without a remainder.

1, 3, 13, 19, 39, 57, 61, 183, 247, 741, 793, 1159, 2379, 3477, 15067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45189 and 45201. The biggest common factor number is the GCF number.
So the greatest common factor 45189 and 45201 is 3.

Also check out the Least Common Multiple of 45189 and 45201