What is the Greatest Common Factor of 39402 and 39422?

Greatest common factor (GCF) of 39402 and 39422 is 2.

GCF(39402,39422) = 2

We will now calculate the prime factors of 39402 and 39422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39402 and 39422.

How to find the GCF of 39402 and 39422?

We will first find the prime factorization of 39402 and 39422. After we will calculate the factors of 39402 and 39422 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 39422

Prime factors of 39422 are 2, 23, 857. Prime factorization of 39422 in exponential form is:

39422 = 2¹ × 23¹ × 857¹

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 39422

List of positive integer factors of 39422 that divides 39402 without a remainder.

1, 2, 23, 46, 857, 1714, 19711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39402 and 39422. The biggest common factor number is the GCF number.
So the greatest common factor 39402 and 39422 is 2.

Also check out the Least Common Multiple of 39402 and 39422