What is the Greatest Common Factor of 39402 and 39417?

Greatest common factor (GCF) of 39402 and 39417 is 3.

GCF(39402,39417) = 3

We will now calculate the prime factors of 39402 and 39417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39402 and 39417.

How to find the GCF of 39402 and 39417?

We will first find the prime factorization of 39402 and 39417. After we will calculate the factors of 39402 and 39417 and find the biggest common factor number .

Step-1: Prime Factorization of 39402

Prime factors of 39402 are 2, 3, 11, 199. Prime factorization of 39402 in exponential form is:

39402 = 2¹ × 3² × 11¹ × 199¹

Step-2: Prime Factorization of 39417

Prime factors of 39417 are 3, 7, 1877. Prime factorization of 39417 in exponential form is:

39417 = 3¹ × 7¹ × 1877¹

Step-3: Factors of 39402

List of positive integer factors of 39402 that divides 39402 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 199, 398, 597, 1194, 1791, 2189, 3582, 4378, 6567, 13134, 19701

Step-4: Factors of 39417

List of positive integer factors of 39417 that divides 39402 without a remainder.

1, 3, 7, 21, 1877, 5631, 13139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39402 and 39417. The biggest common factor number is the GCF number.
So the greatest common factor 39402 and 39417 is 3.

Also check out the Least Common Multiple of 39402 and 39417