What is the Greatest Common Factor of 45270 and 45288?

Greatest common factor (GCF) of 45270 and 45288 is 18.

GCF(45270,45288) = 18

We will now calculate the prime factors of 45270 and 45288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45270 and 45288.

How to find the GCF of 45270 and 45288?

We will first find the prime factorization of 45270 and 45288. After we will calculate the factors of 45270 and 45288 and find the biggest common factor number .

Step-1: Prime Factorization of 45270

Prime factors of 45270 are 2, 3, 5, 503. Prime factorization of 45270 in exponential form is:

45270 = 2¹ × 3² × 5¹ × 503¹

Step-2: Prime Factorization of 45288

Prime factors of 45288 are 2, 3, 17, 37. Prime factorization of 45288 in exponential form is:

45288 = 2³ × 3² × 17¹ × 37¹

Step-3: Factors of 45270

List of positive integer factors of 45270 that divides 45270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 503, 1006, 1509, 2515, 3018, 4527, 5030, 7545, 9054, 15090, 22635

Step-4: Factors of 45288

List of positive integer factors of 45288 that divides 45270 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 37, 51, 68, 72, 74, 102, 111, 136, 148, 153, 204, 222, 296, 306, 333, 408, 444, 612, 629, 666, 888, 1224, 1258, 1332, 1887, 2516, 2664, 3774, 5032, 5661, 7548, 11322, 15096, 22644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45270 and 45288. The biggest common factor number is the GCF number.
So the greatest common factor 45270 and 45288 is 18.

Also check out the Least Common Multiple of 45270 and 45288