What is the Greatest Common Factor of 45558 and 45576?

Greatest common factor (GCF) of 45558 and 45576 is 18.

GCF(45558,45576) = 18

We will now calculate the prime factors of 45558 and 45576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45558 and 45576.

How to find the GCF of 45558 and 45576?

We will first find the prime factorization of 45558 and 45576. After we will calculate the factors of 45558 and 45576 and find the biggest common factor number .

Step-1: Prime Factorization of 45558

Prime factors of 45558 are 2, 3, 2531. Prime factorization of 45558 in exponential form is:

45558 = 2¹ × 3² × 2531¹

Step-2: Prime Factorization of 45576

Prime factors of 45576 are 2, 3, 211. Prime factorization of 45576 in exponential form is:

45576 = 2³ × 3³ × 211¹

Step-3: Factors of 45558

List of positive integer factors of 45558 that divides 45558 without a remainder.

1, 2, 3, 6, 9, 18, 2531, 5062, 7593, 15186, 22779

Step-4: Factors of 45576

List of positive integer factors of 45576 that divides 45558 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 211, 216, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 5697, 7596, 11394, 15192, 22788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45558 and 45576. The biggest common factor number is the GCF number.
So the greatest common factor 45558 and 45576 is 18.

Also check out the Least Common Multiple of 45558 and 45576