What is the Greatest Common Factor of 39387 and 39402?

Greatest common factor (GCF) of 39387 and 39402 is 3.

GCF(39387,39402) = 3

We will now calculate the prime factors of 39387 and 39402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39387 and 39402.

How to find the GCF of 39387 and 39402?

We will first find the prime factorization of 39387 and 39402. After we will calculate the factors of 39387 and 39402 and find the biggest common factor number .

Step-1: Prime Factorization of 39387

Prime factors of 39387 are 3, 19, 691. Prime factorization of 39387 in exponential form is:

39387 = 3¹ × 19¹ × 691¹

Step-2: 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-3: Factors of 39387

List of positive integer factors of 39387 that divides 39387 without a remainder.

1, 3, 19, 57, 691, 2073, 13129

Step-4: Factors of 39402

List of positive integer factors of 39402 that divides 39387 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39387 and 39402. The biggest common factor number is the GCF number.
So the greatest common factor 39387 and 39402 is 3.

Also check out the Least Common Multiple of 39387 and 39402