What is the Greatest Common Factor of 38749 and 38764?

Greatest common factor (GCF) of 38749 and 38764 is 1.

GCF(38749,38764) = 1

We will now calculate the prime factors of 38749 and 38764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38749 and 38764.

How to find the GCF of 38749 and 38764?

We will first find the prime factorization of 38749 and 38764. After we will calculate the factors of 38749 and 38764 and find the biggest common factor number .

Step-1: Prime Factorization of 38749

Prime factors of 38749 are 38749. Prime factorization of 38749 in exponential form is:

38749 = 38749¹

Step-2: Prime Factorization of 38764

Prime factors of 38764 are 2, 11, 881. Prime factorization of 38764 in exponential form is:

38764 = 2² × 11¹ × 881¹

Step-3: Factors of 38749

List of positive integer factors of 38749 that divides 38749 without a remainder.

Step-4: Factors of 38764

List of positive integer factors of 38764 that divides 38749 without a remainder.

1, 2, 4, 11, 22, 44, 881, 1762, 3524, 9691, 19382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38749 and 38764. The biggest common factor number is the GCF number.
So the greatest common factor 38749 and 38764 is 1.

Also check out the Least Common Multiple of 38749 and 38764