What is the Greatest Common Factor of 71196 and 71215?

Greatest common factor (GCF) of 71196 and 71215 is 1.

GCF(71196,71215) = 1

We will now calculate the prime factors of 71196 and 71215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71196 and 71215.

How to find the GCF of 71196 and 71215?

We will first find the prime factorization of 71196 and 71215. After we will calculate the factors of 71196 and 71215 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 71215

Prime factors of 71215 are 5, 14243. Prime factorization of 71215 in exponential form is:

71215 = 5¹ × 14243¹

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 71215

List of positive integer factors of 71215 that divides 71196 without a remainder.

1, 5, 14243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71196 and 71215. The biggest common factor number is the GCF number.
So the greatest common factor 71196 and 71215 is 1.

Also check out the Least Common Multiple of 71196 and 71215