What is the Greatest Common Factor of 45112 and 45123?

Greatest common factor (GCF) of 45112 and 45123 is 1.

GCF(45112,45123) = 1

We will now calculate the prime factors of 45112 and 45123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45112 and 45123.

How to find the GCF of 45112 and 45123?

We will first find the prime factorization of 45112 and 45123. After we will calculate the factors of 45112 and 45123 and find the biggest common factor number .

Step-1: Prime Factorization of 45112

Prime factors of 45112 are 2, 5639. Prime factorization of 45112 in exponential form is:

45112 = 2³ × 5639¹

Step-2: 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-3: Factors of 45112

List of positive integer factors of 45112 that divides 45112 without a remainder.

1, 2, 4, 8, 5639, 11278, 22556

Step-4: Factors of 45123

List of positive integer factors of 45123 that divides 45112 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45112 and 45123. The biggest common factor number is the GCF number.
So the greatest common factor 45112 and 45123 is 1.

Also check out the Least Common Multiple of 45112 and 45123