What is the Greatest Common Factor of 39458 and 39472?

Greatest common factor (GCF) of 39458 and 39472 is 2.

GCF(39458,39472) = 2

We will now calculate the prime factors of 39458 and 39472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39458 and 39472.

How to find the GCF of 39458 and 39472?

We will first find the prime factorization of 39458 and 39472. After we will calculate the factors of 39458 and 39472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39472

Prime factors of 39472 are 2, 2467. Prime factorization of 39472 in exponential form is:

39472 = 2⁴ × 2467¹

Step-3: Factors of 39458

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

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

Step-4: Factors of 39472

List of positive integer factors of 39472 that divides 39458 without a remainder.

1, 2, 4, 8, 16, 2467, 4934, 9868, 19736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39458 and 39472. The biggest common factor number is the GCF number.
So the greatest common factor 39458 and 39472 is 2.

Also check out the Least Common Multiple of 39458 and 39472