What is the Greatest Common Factor of 75129 and 75141?

Greatest common factor (GCF) of 75129 and 75141 is 3.

GCF(75129,75141) = 3

We will now calculate the prime factors of 75129 and 75141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75129 and 75141.

How to find the GCF of 75129 and 75141?

We will first find the prime factorization of 75129 and 75141. After we will calculate the factors of 75129 and 75141 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 75141

Prime factors of 75141 are 3, 11, 23. Prime factorization of 75141 in exponential form is:

75141 = 3³ × 11² × 23¹

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 75141

List of positive integer factors of 75141 that divides 75129 without a remainder.

1, 3, 9, 11, 23, 27, 33, 69, 99, 121, 207, 253, 297, 363, 621, 759, 1089, 2277, 2783, 3267, 6831, 8349, 25047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75129 and 75141. The biggest common factor number is the GCF number.
So the greatest common factor 75129 and 75141 is 3.

Also check out the Least Common Multiple of 75129 and 75141