What is the Greatest Common Factor of 38762 and 38768?

Greatest common factor (GCF) of 38762 and 38768 is 2.

GCF(38762,38768) = 2

We will now calculate the prime factors of 38762 and 38768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38762 and 38768.

How to find the GCF of 38762 and 38768?

We will first find the prime factorization of 38762 and 38768. After we will calculate the factors of 38762 and 38768 and find the biggest common factor number .

Step-1: Prime Factorization of 38762

Prime factors of 38762 are 2, 19381. Prime factorization of 38762 in exponential form is:

38762 = 2¹ × 19381¹

Step-2: Prime Factorization of 38768

Prime factors of 38768 are 2, 2423. Prime factorization of 38768 in exponential form is:

38768 = 2⁴ × 2423¹

Step-3: Factors of 38762

List of positive integer factors of 38762 that divides 38762 without a remainder.

1, 2, 19381

Step-4: Factors of 38768

List of positive integer factors of 38768 that divides 38762 without a remainder.

1, 2, 4, 8, 16, 2423, 4846, 9692, 19384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38762 and 38768. The biggest common factor number is the GCF number.
So the greatest common factor 38762 and 38768 is 2.

Also check out the Least Common Multiple of 38762 and 38768