What is the Greatest Common Factor of 45084 and 45094?

Greatest common factor (GCF) of 45084 and 45094 is 2.

GCF(45084,45094) = 2

We will now calculate the prime factors of 45084 and 45094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45084 and 45094.

How to find the GCF of 45084 and 45094?

We will first find the prime factorization of 45084 and 45094. After we will calculate the factors of 45084 and 45094 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 45094

Prime factors of 45094 are 2, 7, 3221. Prime factorization of 45094 in exponential form is:

45094 = 2¹ × 7¹ × 3221¹

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 45094

List of positive integer factors of 45094 that divides 45084 without a remainder.

1, 2, 7, 14, 3221, 6442, 22547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45084 and 45094. The biggest common factor number is the GCF number.
So the greatest common factor 45084 and 45094 is 2.

Also check out the Least Common Multiple of 45084 and 45094