What is the Greatest Common Factor of 39438 and 39458?

Greatest common factor (GCF) of 39438 and 39458 is 2.

GCF(39438,39458) = 2

We will now calculate the prime factors of 39438 and 39458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39438 and 39458.

How to find the GCF of 39438 and 39458?

We will first find the prime factorization of 39438 and 39458. After we will calculate the factors of 39438 and 39458 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 39458

Prime factors of 39458 are 2, 109, 181. Prime factorization of 39458 in exponential form is:

39458 = 2¹ × 109¹ × 181¹

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 39458

List of positive integer factors of 39458 that divides 39438 without a remainder.

1, 2, 109, 181, 218, 362, 19729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39438 and 39458. The biggest common factor number is the GCF number.
So the greatest common factor 39438 and 39458 is 2.

Also check out the Least Common Multiple of 39438 and 39458