What is the Greatest Common Factor of 38506 and 38512?

Greatest common factor (GCF) of 38506 and 38512 is 2.

GCF(38506,38512) = 2

We will now calculate the prime factors of 38506 and 38512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38506 and 38512.

How to find the GCF of 38506 and 38512?

We will first find the prime factorization of 38506 and 38512. After we will calculate the factors of 38506 and 38512 and find the biggest common factor number .

Step-1: Prime Factorization of 38506

Prime factors of 38506 are 2, 13, 1481. Prime factorization of 38506 in exponential form is:

38506 = 2¹ × 13¹ × 1481¹

Step-2: Prime Factorization of 38512

Prime factors of 38512 are 2, 29, 83. Prime factorization of 38512 in exponential form is:

38512 = 2⁴ × 29¹ × 83¹

Step-3: Factors of 38506

List of positive integer factors of 38506 that divides 38506 without a remainder.

1, 2, 13, 26, 1481, 2962, 19253

Step-4: Factors of 38512

List of positive integer factors of 38512 that divides 38506 without a remainder.

1, 2, 4, 8, 16, 29, 58, 83, 116, 166, 232, 332, 464, 664, 1328, 2407, 4814, 9628, 19256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38506 and 38512. The biggest common factor number is the GCF number.
So the greatest common factor 38506 and 38512 is 2.

Also check out the Least Common Multiple of 38506 and 38512