What is the Greatest Common Factor of 45069 and 45077?

Greatest common factor (GCF) of 45069 and 45077 is 1.

GCF(45069,45077) = 1

We will now calculate the prime factors of 45069 and 45077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45069 and 45077.

How to find the GCF of 45069 and 45077?

We will first find the prime factorization of 45069 and 45077. After we will calculate the factors of 45069 and 45077 and find the biggest common factor number .

Step-1: Prime Factorization of 45069

Prime factors of 45069 are 3, 83, 181. Prime factorization of 45069 in exponential form is:

45069 = 3¹ × 83¹ × 181¹

Step-2: Prime Factorization of 45077

Prime factors of 45077 are 45077. Prime factorization of 45077 in exponential form is:

45077 = 45077¹

Step-3: Factors of 45069

List of positive integer factors of 45069 that divides 45069 without a remainder.

1, 3, 83, 181, 249, 543, 15023

Step-4: Factors of 45077

List of positive integer factors of 45077 that divides 45069 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45069 and 45077. The biggest common factor number is the GCF number.
So the greatest common factor 45069 and 45077 is 1.

Also check out the Least Common Multiple of 45069 and 45077