What is the Greatest Common Factor of 38763 and 38769?

Greatest common factor (GCF) of 38763 and 38769 is 3.

GCF(38763,38769) = 3

We will now calculate the prime factors of 38763 and 38769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38763 and 38769.

How to find the GCF of 38763 and 38769?

We will first find the prime factorization of 38763 and 38769. After we will calculate the factors of 38763 and 38769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38769

Prime factors of 38769 are 3, 12923. Prime factorization of 38769 in exponential form is:

38769 = 3¹ × 12923¹

Step-3: Factors of 38763

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

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

Step-4: Factors of 38769

List of positive integer factors of 38769 that divides 38763 without a remainder.

1, 3, 12923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38763 and 38769. The biggest common factor number is the GCF number.
So the greatest common factor 38763 and 38769 is 3.

Also check out the Least Common Multiple of 38763 and 38769