What is the Greatest Common Factor of 38486 and 38492?

Greatest common factor (GCF) of 38486 and 38492 is 2.

GCF(38486,38492) = 2

We will now calculate the prime factors of 38486 and 38492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38486 and 38492.

How to find the GCF of 38486 and 38492?

We will first find the prime factorization of 38486 and 38492. After we will calculate the factors of 38486 and 38492 and find the biggest common factor number .

Step-1: Prime Factorization of 38486

Prime factors of 38486 are 2, 7, 2749. Prime factorization of 38486 in exponential form is:

38486 = 2¹ × 7¹ × 2749¹

Step-2: Prime Factorization of 38492

Prime factors of 38492 are 2, 9623. Prime factorization of 38492 in exponential form is:

38492 = 2² × 9623¹

Step-3: Factors of 38486

List of positive integer factors of 38486 that divides 38486 without a remainder.

1, 2, 7, 14, 2749, 5498, 19243

Step-4: Factors of 38492

List of positive integer factors of 38492 that divides 38486 without a remainder.

1, 2, 4, 9623, 19246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38486 and 38492. The biggest common factor number is the GCF number.
So the greatest common factor 38486 and 38492 is 2.

Also check out the Least Common Multiple of 38486 and 38492