What is the Greatest Common Factor of 45123 and 45141?

Greatest common factor (GCF) of 45123 and 45141 is 3.

GCF(45123,45141) = 3

We will now calculate the prime factors of 45123 and 45141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45123 and 45141.

How to find the GCF of 45123 and 45141?

We will first find the prime factorization of 45123 and 45141. After we will calculate the factors of 45123 and 45141 and find the biggest common factor number .

Step-1: Prime Factorization of 45123

Prime factors of 45123 are 3, 13, 89. Prime factorization of 45123 in exponential form is:

45123 = 3¹ × 13² × 89¹

Step-2: Prime Factorization of 45141

Prime factors of 45141 are 3, 41, 367. Prime factorization of 45141 in exponential form is:

45141 = 3¹ × 41¹ × 367¹

Step-3: Factors of 45123

List of positive integer factors of 45123 that divides 45123 without a remainder.

1, 3, 13, 39, 89, 169, 267, 507, 1157, 3471, 15041

Step-4: Factors of 45141

List of positive integer factors of 45141 that divides 45123 without a remainder.

1, 3, 41, 123, 367, 1101, 15047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45123 and 45141. The biggest common factor number is the GCF number.
So the greatest common factor 45123 and 45141 is 3.

Also check out the Least Common Multiple of 45123 and 45141