What is the Greatest Common Factor of 45288 and 45307?

Greatest common factor (GCF) of 45288 and 45307 is 1.

GCF(45288,45307) = 1

We will now calculate the prime factors of 45288 and 45307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45288 and 45307.

How to find the GCF of 45288 and 45307?

We will first find the prime factorization of 45288 and 45307. After we will calculate the factors of 45288 and 45307 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45307

Prime factors of 45307 are 45307. Prime factorization of 45307 in exponential form is:

45307 = 45307¹

Step-3: Factors of 45288

List of positive integer factors of 45288 that divides 45288 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

Step-4: Factors of 45307

List of positive integer factors of 45307 that divides 45288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45288 and 45307. The biggest common factor number is the GCF number.
So the greatest common factor 45288 and 45307 is 1.

Also check out the Least Common Multiple of 45288 and 45307