What is the Greatest Common Factor of 45084 and 45103?

Greatest common factor (GCF) of 45084 and 45103 is 1.

GCF(45084,45103) = 1

We will now calculate the prime factors of 45084 and 45103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45084 and 45103.

How to find the GCF of 45084 and 45103?

We will first find the prime factorization of 45084 and 45103. After we will calculate the factors of 45084 and 45103 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 45103

Prime factors of 45103 are 23, 37, 53. Prime factorization of 45103 in exponential form is:

45103 = 23¹ × 37¹ × 53¹

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 45103

List of positive integer factors of 45103 that divides 45084 without a remainder.

1, 23, 37, 53, 851, 1219, 1961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45084 and 45103. The biggest common factor number is the GCF number.
So the greatest common factor 45084 and 45103 is 1.

Also check out the Least Common Multiple of 45084 and 45103