What is the Greatest Common Factor of 75164 and 75183?

Greatest common factor (GCF) of 75164 and 75183 is 19.

GCF(75164,75183) = 19

We will now calculate the prime factors of 75164 and 75183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75164 and 75183.

How to find the GCF of 75164 and 75183?

We will first find the prime factorization of 75164 and 75183. After we will calculate the factors of 75164 and 75183 and find the biggest common factor number .

Step-1: Prime Factorization of 75164

Prime factors of 75164 are 2, 19, 23, 43. Prime factorization of 75164 in exponential form is:

75164 = 2² × 19¹ × 23¹ × 43¹

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 75164

List of positive integer factors of 75164 that divides 75164 without a remainder.

1, 2, 4, 19, 23, 38, 43, 46, 76, 86, 92, 172, 437, 817, 874, 989, 1634, 1748, 1978, 3268, 3956, 18791, 37582

Step-4: Factors of 75183

List of positive integer factors of 75183 that divides 75164 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75164 and 75183. The biggest common factor number is the GCF number.
So the greatest common factor 75164 and 75183 is 19.

Also check out the Least Common Multiple of 75164 and 75183