What is the Greatest Common Factor of 38751 and 38763?

Greatest common factor (GCF) of 38751 and 38763 is 3.

GCF(38751,38763) = 3

We will now calculate the prime factors of 38751 and 38763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38751 and 38763.

How to find the GCF of 38751 and 38763?

We will first find the prime factorization of 38751 and 38763. After we will calculate the factors of 38751 and 38763 and find the biggest common factor number .

Step-1: Prime Factorization of 38751

Prime factors of 38751 are 3, 12917. Prime factorization of 38751 in exponential form is:

38751 = 3¹ × 12917¹

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 38751

List of positive integer factors of 38751 that divides 38751 without a remainder.

1, 3, 12917

Step-4: Factors of 38763

List of positive integer factors of 38763 that divides 38751 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 38751 and 38763. The biggest common factor number is the GCF number.
So the greatest common factor 38751 and 38763 is 3.

Also check out the Least Common Multiple of 38751 and 38763