What is the Greatest Common Factor of 71184 and 71193?

Greatest common factor (GCF) of 71184 and 71193 is 3.

GCF(71184,71193) = 3

We will now calculate the prime factors of 71184 and 71193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71184 and 71193.

How to find the GCF of 71184 and 71193?

We will first find the prime factorization of 71184 and 71193. After we will calculate the factors of 71184 and 71193 and find the biggest common factor number .

Step-1: Prime Factorization of 71184

Prime factors of 71184 are 2, 3, 1483. Prime factorization of 71184 in exponential form is:

71184 = 2⁴ × 3¹ × 1483¹

Step-2: Prime Factorization of 71193

Prime factors of 71193 are 3, 19, 1249. Prime factorization of 71193 in exponential form is:

71193 = 3¹ × 19¹ × 1249¹

Step-3: Factors of 71184

List of positive integer factors of 71184 that divides 71184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1483, 2966, 4449, 5932, 8898, 11864, 17796, 23728, 35592

Step-4: Factors of 71193

List of positive integer factors of 71193 that divides 71184 without a remainder.

1, 3, 19, 57, 1249, 3747, 23731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71184 and 71193. The biggest common factor number is the GCF number.
So the greatest common factor 71184 and 71193 is 3.

Also check out the Least Common Multiple of 71184 and 71193