What is the Greatest Common Factor of 75135 and 75147?

Greatest common factor (GCF) of 75135 and 75147 is 3.

GCF(75135,75147) = 3

We will now calculate the prime factors of 75135 and 75147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75135 and 75147.

How to find the GCF of 75135 and 75147?

We will first find the prime factorization of 75135 and 75147. After we will calculate the factors of 75135 and 75147 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75147

Prime factors of 75147 are 3, 37, 677. Prime factorization of 75147 in exponential form is:

75147 = 3¹ × 37¹ × 677¹

Step-3: Factors of 75135

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

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

Step-4: Factors of 75147

List of positive integer factors of 75147 that divides 75135 without a remainder.

1, 3, 37, 111, 677, 2031, 25049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75135 and 75147. The biggest common factor number is the GCF number.
So the greatest common factor 75135 and 75147 is 3.

Also check out the Least Common Multiple of 75135 and 75147