What is the Greatest Common Factor of 38757 and 38763?

Greatest common factor (GCF) of 38757 and 38763 is 3.

GCF(38757,38763) = 3

We will now calculate the prime factors of 38757 and 38763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38757 and 38763.

How to find the GCF of 38757 and 38763?

We will first find the prime factorization of 38757 and 38763. After we will calculate the factors of 38757 and 38763 and find the biggest common factor number .

Step-1: Prime Factorization of 38757

Prime factors of 38757 are 3, 12919. Prime factorization of 38757 in exponential form is:

38757 = 3¹ × 12919¹

Step-2: Prime Factorization of 38763

Prime factors of 38763 are 3, 59, 73. Prime factorization of 38763 in exponential form is:

38763 = 3² × 59¹ × 73¹

Step-3: Factors of 38757

List of positive integer factors of 38757 that divides 38757 without a remainder.

1, 3, 12919

Step-4: Factors of 38763

List of positive integer factors of 38763 that divides 38757 without a remainder.

1, 3, 9, 59, 73, 177, 219, 531, 657, 4307, 12921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38757 and 38763. The biggest common factor number is the GCF number.
So the greatest common factor 38757 and 38763 is 3.

Also check out the Least Common Multiple of 38757 and 38763