What is the Greatest Common Factor of 71196 and 71208?

Greatest common factor (GCF) of 71196 and 71208 is 12.

GCF(71196,71208) = 12

We will now calculate the prime factors of 71196 and 71208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71196 and 71208.

How to find the GCF of 71196 and 71208?

We will first find the prime factorization of 71196 and 71208. After we will calculate the factors of 71196 and 71208 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71208

Prime factors of 71208 are 2, 3, 23, 43. Prime factorization of 71208 in exponential form is:

71208 = 2³ × 3² × 23¹ × 43¹

Step-3: Factors of 71196

List of positive integer factors of 71196 that divides 71196 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

Step-4: Factors of 71208

List of positive integer factors of 71208 that divides 71196 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 43, 46, 69, 72, 86, 92, 129, 138, 172, 184, 207, 258, 276, 344, 387, 414, 516, 552, 774, 828, 989, 1032, 1548, 1656, 1978, 2967, 3096, 3956, 5934, 7912, 8901, 11868, 17802, 23736, 35604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71196 and 71208. The biggest common factor number is the GCF number.
So the greatest common factor 71196 and 71208 is 12.

Also check out the Least Common Multiple of 71196 and 71208