What is the Greatest Common Factor of 75129 and 75135?

Greatest common factor (GCF) of 75129 and 75135 is 3.

GCF(75129,75135) = 3

We will now calculate the prime factors of 75129 and 75135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75129 and 75135.

How to find the GCF of 75129 and 75135?

We will first find the prime factorization of 75129 and 75135. After we will calculate the factors of 75129 and 75135 and find the biggest common factor number .

Step-1: Prime Factorization of 75129

Prime factors of 75129 are 3, 79, 317. Prime factorization of 75129 in exponential form is:

75129 = 3¹ × 79¹ × 317¹

Step-2: Prime Factorization of 75135

Prime factors of 75135 are 3, 5, 5009. Prime factorization of 75135 in exponential form is:

75135 = 3¹ × 5¹ × 5009¹

Step-3: Factors of 75129

List of positive integer factors of 75129 that divides 75129 without a remainder.

1, 3, 79, 237, 317, 951, 25043

Step-4: Factors of 75135

List of positive integer factors of 75135 that divides 75129 without a remainder.

1, 3, 5, 15, 5009, 15027, 25045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75129 and 75135. The biggest common factor number is the GCF number.
So the greatest common factor 75129 and 75135 is 3.

Also check out the Least Common Multiple of 75129 and 75135