What is the Greatest Common Factor of 45084 and 45102?

Greatest common factor (GCF) of 45084 and 45102 is 6.

GCF(45084,45102) = 6

We will now calculate the prime factors of 45084 and 45102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45084 and 45102.

How to find the GCF of 45084 and 45102?

We will first find the prime factorization of 45084 and 45102. After we will calculate the factors of 45084 and 45102 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 45102

Prime factors of 45102 are 2, 3, 7517. Prime factorization of 45102 in exponential form is:

45102 = 2¹ × 3¹ × 7517¹

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 45102

List of positive integer factors of 45102 that divides 45084 without a remainder.

1, 2, 3, 6, 7517, 15034, 22551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45084 and 45102. The biggest common factor number is the GCF number.
So the greatest common factor 45084 and 45102 is 6.

Also check out the Least Common Multiple of 45084 and 45102