What is the Greatest Common Factor of 71202 and 71217?

Greatest common factor (GCF) of 71202 and 71217 is 3.

GCF(71202,71217) = 3

We will now calculate the prime factors of 71202 and 71217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71202 and 71217.

How to find the GCF of 71202 and 71217?

We will first find the prime factorization of 71202 and 71217. After we will calculate the factors of 71202 and 71217 and find the biggest common factor number .

Step-1: Prime Factorization of 71202

Prime factors of 71202 are 2, 3, 11867. Prime factorization of 71202 in exponential form is:

71202 = 2¹ × 3¹ × 11867¹

Step-2: Prime Factorization of 71217

Prime factors of 71217 are 3, 41, 193. Prime factorization of 71217 in exponential form is:

71217 = 3² × 41¹ × 193¹

Step-3: Factors of 71202

List of positive integer factors of 71202 that divides 71202 without a remainder.

1, 2, 3, 6, 11867, 23734, 35601

Step-4: Factors of 71217

List of positive integer factors of 71217 that divides 71202 without a remainder.

1, 3, 9, 41, 123, 193, 369, 579, 1737, 7913, 23739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71202 and 71217. The biggest common factor number is the GCF number.
So the greatest common factor 71202 and 71217 is 3.

Also check out the Least Common Multiple of 71202 and 71217