What is the Greatest Common Factor of 71196 and 71213?

Greatest common factor (GCF) of 71196 and 71213 is 17.

GCF(71196,71213) = 17

We will now calculate the prime factors of 71196 and 71213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71196 and 71213.

How to find the GCF of 71196 and 71213?

We will first find the prime factorization of 71196 and 71213. After we will calculate the factors of 71196 and 71213 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 71213

Prime factors of 71213 are 17, 59, 71. Prime factorization of 71213 in exponential form is:

71213 = 17¹ × 59¹ × 71¹

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 71213

List of positive integer factors of 71213 that divides 71196 without a remainder.

1, 17, 59, 71, 1003, 1207, 4189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71196 and 71213. The biggest common factor number is the GCF number.
So the greatest common factor 71196 and 71213 is 17.

Also check out the Least Common Multiple of 71196 and 71213