What is the Greatest Common Factor of 75555 and 75567?

Greatest common factor (GCF) of 75555 and 75567 is 3.

GCF(75555,75567) = 3

We will now calculate the prime factors of 75555 and 75567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75555 and 75567.

How to find the GCF of 75555 and 75567?

We will first find the prime factorization of 75555 and 75567. After we will calculate the factors of 75555 and 75567 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 75567

Prime factors of 75567 are 3, 25189. Prime factorization of 75567 in exponential form is:

75567 = 3¹ × 25189¹

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 75567

List of positive integer factors of 75567 that divides 75555 without a remainder.

1, 3, 25189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75555 and 75567. The biggest common factor number is the GCF number.
So the greatest common factor 75555 and 75567 is 3.

Also check out the Least Common Multiple of 75555 and 75567