What is the Greatest Common Factor of 45023 and 45027?

Greatest common factor (GCF) of 45023 and 45027 is 1.

GCF(45023,45027) = 1

We will now calculate the prime factors of 45023 and 45027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45023 and 45027.

How to find the GCF of 45023 and 45027?

We will first find the prime factorization of 45023 and 45027. After we will calculate the factors of 45023 and 45027 and find the biggest common factor number .

Step-1: Prime Factorization of 45023

Prime factors of 45023 are 11, 4093. Prime factorization of 45023 in exponential form is:

45023 = 11¹ × 4093¹

Step-2: Prime Factorization of 45027

Prime factors of 45027 are 3, 5003. Prime factorization of 45027 in exponential form is:

45027 = 3² × 5003¹

Step-3: Factors of 45023

List of positive integer factors of 45023 that divides 45023 without a remainder.

1, 11, 4093

Step-4: Factors of 45027

List of positive integer factors of 45027 that divides 45023 without a remainder.

1, 3, 9, 5003, 15009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45023 and 45027. The biggest common factor number is the GCF number.
So the greatest common factor 45023 and 45027 is 1.

Also check out the Least Common Multiple of 45023 and 45027