What is the Greatest Common Factor of 75540 and 75555?

Greatest common factor (GCF) of 75540 and 75555 is 15.

GCF(75540,75555) = 15

We will now calculate the prime factors of 75540 and 75555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75540 and 75555.

How to find the GCF of 75540 and 75555?

We will first find the prime factorization of 75540 and 75555. After we will calculate the factors of 75540 and 75555 and find the biggest common factor number .

Step-1: Prime Factorization of 75540

Prime factors of 75540 are 2, 3, 5, 1259. Prime factorization of 75540 in exponential form is:

75540 = 2² × 3¹ × 5¹ × 1259¹

Step-2: Prime Factorization of 75555

Prime factors of 75555 are 3, 5, 23, 73. Prime factorization of 75555 in exponential form is:

75555 = 3² × 5¹ × 23¹ × 73¹

Step-3: Factors of 75540

List of positive integer factors of 75540 that divides 75540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1259, 2518, 3777, 5036, 6295, 7554, 12590, 15108, 18885, 25180, 37770

Step-4: Factors of 75555

List of positive integer factors of 75555 that divides 75540 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 73, 115, 207, 219, 345, 365, 657, 1035, 1095, 1679, 3285, 5037, 8395, 15111, 25185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75540 and 75555. The biggest common factor number is the GCF number.
So the greatest common factor 75540 and 75555 is 15.

Also check out the Least Common Multiple of 75540 and 75555