What is the Greatest Common Factor of 38478 and 38486?

Greatest common factor (GCF) of 38478 and 38486 is 2.

GCF(38478,38486) = 2

We will now calculate the prime factors of 38478 and 38486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38478 and 38486.

How to find the GCF of 38478 and 38486?

We will first find the prime factorization of 38478 and 38486. After we will calculate the factors of 38478 and 38486 and find the biggest common factor number .

Step-1: Prime Factorization of 38478

Prime factors of 38478 are 2, 3, 11, 53. Prime factorization of 38478 in exponential form is:

38478 = 2¹ × 3¹ × 11² × 53¹

Step-2: 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-3: Factors of 38478

List of positive integer factors of 38478 that divides 38478 without a remainder.

1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 121, 159, 242, 318, 363, 583, 726, 1166, 1749, 3498, 6413, 12826, 19239

Step-4: Factors of 38486

List of positive integer factors of 38486 that divides 38478 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38478 and 38486. The biggest common factor number is the GCF number.
So the greatest common factor 38478 and 38486 is 2.

Also check out the Least Common Multiple of 38478 and 38486