What is the Greatest Common Factor of 45123 and 45132?

Greatest common factor (GCF) of 45123 and 45132 is 3.

GCF(45123,45132) = 3

We will now calculate the prime factors of 45123 and 45132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45123 and 45132.

How to find the GCF of 45123 and 45132?

We will first find the prime factorization of 45123 and 45132. After we will calculate the factors of 45123 and 45132 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 45132

Prime factors of 45132 are 2, 3, 3761. Prime factorization of 45132 in exponential form is:

45132 = 2² × 3¹ × 3761¹

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 45132

List of positive integer factors of 45132 that divides 45123 without a remainder.

1, 2, 3, 4, 6, 12, 3761, 7522, 11283, 15044, 22566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45123 and 45132. The biggest common factor number is the GCF number.
So the greatest common factor 45123 and 45132 is 3.

Also check out the Least Common Multiple of 45123 and 45132