What is the Greatest Common Factor of 71197 and 71208?

Greatest common factor (GCF) of 71197 and 71208 is 1.

GCF(71197,71208) = 1

We will now calculate the prime factors of 71197 and 71208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71197 and 71208.

How to find the GCF of 71197 and 71208?

We will first find the prime factorization of 71197 and 71208. After we will calculate the factors of 71197 and 71208 and find the biggest common factor number .

Step-1: Prime Factorization of 71197

Prime factors of 71197 are 7, 1453. Prime factorization of 71197 in exponential form is:

71197 = 7² × 1453¹

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 71197

List of positive integer factors of 71197 that divides 71197 without a remainder.

1, 7, 49, 1453, 10171

Step-4: Factors of 71208

List of positive integer factors of 71208 that divides 71197 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 71197 and 71208. The biggest common factor number is the GCF number.
So the greatest common factor 71197 and 71208 is 1.

Also check out the Least Common Multiple of 71197 and 71208