What is the Greatest Common Factor of 75555 and 75570?

Greatest common factor (GCF) of 75555 and 75570 is 15.

GCF(75555,75570) = 15

We will now calculate the prime factors of 75555 and 75570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75555 and 75570.

How to find the GCF of 75555 and 75570?

We will first find the prime factorization of 75555 and 75570. After we will calculate the factors of 75555 and 75570 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75570

Prime factors of 75570 are 2, 3, 5, 11, 229. Prime factorization of 75570 in exponential form is:

75570 = 2¹ × 3¹ × 5¹ × 11¹ × 229¹

Step-3: Factors of 75555

List of positive integer factors of 75555 that divides 75555 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

Step-4: Factors of 75570

List of positive integer factors of 75570 that divides 75555 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 229, 330, 458, 687, 1145, 1374, 2290, 2519, 3435, 5038, 6870, 7557, 12595, 15114, 25190, 37785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75555 and 75570. The biggest common factor number is the GCF number.
So the greatest common factor 75555 and 75570 is 15.

Also check out the Least Common Multiple of 75555 and 75570