What is the Greatest Common Factor of 71184 and 71196?

Greatest common factor (GCF) of 71184 and 71196 is 12.

GCF(71184,71196) = 12

We will now calculate the prime factors of 71184 and 71196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71184 and 71196.

How to find the GCF of 71184 and 71196?

We will first find the prime factorization of 71184 and 71196. After we will calculate the factors of 71184 and 71196 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 71196

Prime factors of 71196 are 2, 3, 17, 349. Prime factorization of 71196 in exponential form is:

71196 = 2² × 3¹ × 17¹ × 349¹

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 71196

List of positive integer factors of 71196 that divides 71184 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 349, 698, 1047, 1396, 2094, 4188, 5933, 11866, 17799, 23732, 35598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71184 and 71196. The biggest common factor number is the GCF number.
So the greatest common factor 71184 and 71196 is 12.

Also check out the Least Common Multiple of 71184 and 71196