What is the Greatest Common Factor of 45272 and 45288?

Greatest common factor (GCF) of 45272 and 45288 is 8.

GCF(45272,45288) = 8

We will now calculate the prime factors of 45272 and 45288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45272 and 45288.

How to find the GCF of 45272 and 45288?

We will first find the prime factorization of 45272 and 45288. After we will calculate the factors of 45272 and 45288 and find the biggest common factor number .

Step-1: Prime Factorization of 45272

Prime factors of 45272 are 2, 5659. Prime factorization of 45272 in exponential form is:

45272 = 2³ × 5659¹

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 45272

List of positive integer factors of 45272 that divides 45272 without a remainder.

1, 2, 4, 8, 5659, 11318, 22636

Step-4: Factors of 45288

List of positive integer factors of 45288 that divides 45272 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 45272 and 45288. The biggest common factor number is the GCF number.
So the greatest common factor 45272 and 45288 is 8.

Also check out the Least Common Multiple of 45272 and 45288