What is the Greatest Common Factor of 45288 and 45294?

Greatest common factor (GCF) of 45288 and 45294 is 6.

GCF(45288,45294) = 6

We will now calculate the prime factors of 45288 and 45294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45288 and 45294.

How to find the GCF of 45288 and 45294?

We will first find the prime factorization of 45288 and 45294. After we will calculate the factors of 45288 and 45294 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 45294

Prime factors of 45294 are 2, 3, 7549. Prime factorization of 45294 in exponential form is:

45294 = 2¹ × 3¹ × 7549¹

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 45294

List of positive integer factors of 45294 that divides 45288 without a remainder.

1, 2, 3, 6, 7549, 15098, 22647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45288 and 45294. The biggest common factor number is the GCF number.
So the greatest common factor 45288 and 45294 is 6.

Also check out the Least Common Multiple of 45288 and 45294