What is the Greatest Common Factor of 75171 and 75183?

Greatest common factor (GCF) of 75171 and 75183 is 3.

GCF(75171,75183) = 3

We will now calculate the prime factors of 75171 and 75183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75171 and 75183.

How to find the GCF of 75171 and 75183?

We will first find the prime factorization of 75171 and 75183. After we will calculate the factors of 75171 and 75183 and find the biggest common factor number .

Step-1: Prime Factorization of 75171

Prime factors of 75171 are 3, 25057. Prime factorization of 75171 in exponential form is:

75171 = 3¹ × 25057¹

Step-2: Prime Factorization of 75183

Prime factors of 75183 are 3, 19, 1319. Prime factorization of 75183 in exponential form is:

75183 = 3¹ × 19¹ × 1319¹

Step-3: Factors of 75171

List of positive integer factors of 75171 that divides 75171 without a remainder.

1, 3, 25057

Step-4: Factors of 75183

List of positive integer factors of 75183 that divides 75171 without a remainder.

1, 3, 19, 57, 1319, 3957, 25061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75171 and 75183. The biggest common factor number is the GCF number.
So the greatest common factor 75171 and 75183 is 3.

Also check out the Least Common Multiple of 75171 and 75183