What is the Greatest Common Factor of 71196 and 71209?

Greatest common factor (GCF) of 71196 and 71209 is 1.

GCF(71196,71209) = 1

We will now calculate the prime factors of 71196 and 71209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71196 and 71209.

How to find the GCF of 71196 and 71209?

We will first find the prime factorization of 71196 and 71209. After we will calculate the factors of 71196 and 71209 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 71209

Prime factors of 71209 are 71209. Prime factorization of 71209 in exponential form is:

71209 = 71209¹

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 71209

List of positive integer factors of 71209 that divides 71196 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71196 and 71209. The biggest common factor number is the GCF number.
So the greatest common factor 71196 and 71209 is 1.

Also check out the Least Common Multiple of 71196 and 71209