What is the Greatest Common Factor of 45149 and 45165?

Greatest common factor (GCF) of 45149 and 45165 is 1.

GCF(45149,45165) = 1

We will now calculate the prime factors of 45149 and 45165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45149 and 45165.

How to find the GCF of 45149 and 45165?

We will first find the prime factorization of 45149 and 45165. After we will calculate the factors of 45149 and 45165 and find the biggest common factor number .

Step-1: Prime Factorization of 45149

Prime factors of 45149 are 13, 23, 151. Prime factorization of 45149 in exponential form is:

45149 = 13¹ × 23¹ × 151¹

Step-2: Prime Factorization of 45165

Prime factors of 45165 are 3, 5, 3011. Prime factorization of 45165 in exponential form is:

45165 = 3¹ × 5¹ × 3011¹

Step-3: Factors of 45149

List of positive integer factors of 45149 that divides 45149 without a remainder.

1, 13, 23, 151, 299, 1963, 3473

Step-4: Factors of 45165

List of positive integer factors of 45165 that divides 45149 without a remainder.

1, 3, 5, 15, 3011, 9033, 15055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45149 and 45165. The biggest common factor number is the GCF number.
So the greatest common factor 45149 and 45165 is 1.

Also check out the Least Common Multiple of 45149 and 45165