What is the Greatest Common Factor of 45540 and 45558?

Greatest common factor (GCF) of 45540 and 45558 is 18.

GCF(45540,45558) = 18

We will now calculate the prime factors of 45540 and 45558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45540 and 45558.

How to find the GCF of 45540 and 45558?

We will first find the prime factorization of 45540 and 45558. After we will calculate the factors of 45540 and 45558 and find the biggest common factor number .

Step-1: Prime Factorization of 45540

Prime factors of 45540 are 2, 3, 5, 11, 23. Prime factorization of 45540 in exponential form is:

45540 = 2² × 3² × 5¹ × 11¹ × 23¹

Step-2: 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-3: Factors of 45540

List of positive integer factors of 45540 that divides 45540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 23, 30, 33, 36, 44, 45, 46, 55, 60, 66, 69, 90, 92, 99, 110, 115, 132, 138, 165, 180, 198, 207, 220, 230, 253, 276, 330, 345, 396, 414, 460, 495, 506, 660, 690, 759, 828, 990, 1012, 1035, 1265, 1380, 1518, 1980, 2070, 2277, 2530, 3036, 3795, 4140, 4554, 5060, 7590, 9108, 11385, 15180, 22770

Step-4: Factors of 45558

List of positive integer factors of 45558 that divides 45540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45540 and 45558. The biggest common factor number is the GCF number.
So the greatest common factor 45540 and 45558 is 18.

Also check out the Least Common Multiple of 45540 and 45558