What is the Greatest Common Factor of 45084 and 45095?

Greatest common factor (GCF) of 45084 and 45095 is 1.

GCF(45084,45095) = 1

We will now calculate the prime factors of 45084 and 45095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45084 and 45095.

How to find the GCF of 45084 and 45095?

We will first find the prime factorization of 45084 and 45095. After we will calculate the factors of 45084 and 45095 and find the biggest common factor number .

Step-1: Prime Factorization of 45084

Prime factors of 45084 are 2, 3, 13, 17. Prime factorization of 45084 in exponential form is:

45084 = 2² × 3¹ × 13¹ × 17²

Step-2: Prime Factorization of 45095

Prime factors of 45095 are 5, 29, 311. Prime factorization of 45095 in exponential form is:

45095 = 5¹ × 29¹ × 311¹

Step-3: Factors of 45084

List of positive integer factors of 45084 that divides 45084 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 289, 442, 578, 663, 867, 884, 1156, 1326, 1734, 2652, 3468, 3757, 7514, 11271, 15028, 22542

Step-4: Factors of 45095

List of positive integer factors of 45095 that divides 45084 without a remainder.

1, 5, 29, 145, 311, 1555, 9019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45084 and 45095. The biggest common factor number is the GCF number.
So the greatest common factor 45084 and 45095 is 1.

Also check out the Least Common Multiple of 45084 and 45095