What is the Greatest Common Factor of 45084 and 45097?

Greatest common factor (GCF) of 45084 and 45097 is 13.

GCF(45084,45097) = 13

We will now calculate the prime factors of 45084 and 45097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45084 and 45097.

How to find the GCF of 45084 and 45097?

We will first find the prime factorization of 45084 and 45097. After we will calculate the factors of 45084 and 45097 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 45097

Prime factors of 45097 are 13, 3469. Prime factorization of 45097 in exponential form is:

45097 = 13¹ × 3469¹

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 45097

List of positive integer factors of 45097 that divides 45084 without a remainder.

1, 13, 3469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45084 and 45097. The biggest common factor number is the GCF number.
So the greatest common factor 45084 and 45097 is 13.

Also check out the Least Common Multiple of 45084 and 45097