What is the Greatest Common Factor of 12402 and 12417?

Greatest common factor (GCF) of 12402 and 12417 is 3.

GCF(12402,12417) = 3

We will now calculate the prime factors of 12402 and 12417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12402 and 12417.

How to find the GCF of 12402 and 12417?

We will first find the prime factorization of 12402 and 12417. After we will calculate the factors of 12402 and 12417 and find the biggest common factor number .

Step-1: Prime Factorization of 12402

Prime factors of 12402 are 2, 3, 13, 53. Prime factorization of 12402 in exponential form is:

12402 = 2¹ × 3² × 13¹ × 53¹

Step-2: Prime Factorization of 12417

Prime factors of 12417 are 3, 4139. Prime factorization of 12417 in exponential form is:

12417 = 3¹ × 4139¹

Step-3: Factors of 12402

List of positive integer factors of 12402 that divides 12402 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 53, 78, 106, 117, 159, 234, 318, 477, 689, 954, 1378, 2067, 4134, 6201

Step-4: Factors of 12417

List of positive integer factors of 12417 that divides 12402 without a remainder.

1, 3, 4139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12402 and 12417. The biggest common factor number is the GCF number.
So the greatest common factor 12402 and 12417 is 3.

Also check out the Least Common Multiple of 12402 and 12417