What is the Greatest Common Factor of 45540 and 45555?

Greatest common factor (GCF) of 45540 and 45555 is 15.

GCF(45540,45555) = 15

We will now calculate the prime factors of 45540 and 45555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45540 and 45555.

How to find the GCF of 45540 and 45555?

We will first find the prime factorization of 45540 and 45555. After we will calculate the factors of 45540 and 45555 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 45555

Prime factors of 45555 are 3, 5, 3037. Prime factorization of 45555 in exponential form is:

45555 = 3¹ × 5¹ × 3037¹

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 45555

List of positive integer factors of 45555 that divides 45540 without a remainder.

1, 3, 5, 15, 3037, 9111, 15185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45540 and 45555. The biggest common factor number is the GCF number.
So the greatest common factor 45540 and 45555 is 15.

Also check out the Least Common Multiple of 45540 and 45555