What is the Greatest Common Factor of 39438 and 39446?

Greatest common factor (GCF) of 39438 and 39446 is 2.

GCF(39438,39446) = 2

We will now calculate the prime factors of 39438 and 39446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39438 and 39446.

How to find the GCF of 39438 and 39446?

We will first find the prime factorization of 39438 and 39446. After we will calculate the factors of 39438 and 39446 and find the biggest common factor number .

Step-1: Prime Factorization of 39438

Prime factors of 39438 are 2, 3, 7, 313. Prime factorization of 39438 in exponential form is:

39438 = 2¹ × 3² × 7¹ × 313¹

Step-2: Prime Factorization of 39446

Prime factors of 39446 are 2, 11, 163. Prime factorization of 39446 in exponential form is:

39446 = 2¹ × 11² × 163¹

Step-3: Factors of 39438

List of positive integer factors of 39438 that divides 39438 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 313, 626, 939, 1878, 2191, 2817, 4382, 5634, 6573, 13146, 19719

Step-4: Factors of 39446

List of positive integer factors of 39446 that divides 39438 without a remainder.

1, 2, 11, 22, 121, 163, 242, 326, 1793, 3586, 19723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39438 and 39446. The biggest common factor number is the GCF number.
So the greatest common factor 39438 and 39446 is 2.

Also check out the Least Common Multiple of 39438 and 39446