What is the Greatest Common Factor of 13758 and 13763?

Greatest common factor (GCF) of 13758 and 13763 is 1.

GCF(13758,13763) = 1

We will now calculate the prime factors of 13758 and 13763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13758 and 13763.

How to find the GCF of 13758 and 13763?

We will first find the prime factorization of 13758 and 13763. After we will calculate the factors of 13758 and 13763 and find the biggest common factor number .

Step-1: Prime Factorization of 13758

Prime factors of 13758 are 2, 3, 2293. Prime factorization of 13758 in exponential form is:

13758 = 2¹ × 3¹ × 2293¹

Step-2: Prime Factorization of 13763

Prime factors of 13763 are 13763. Prime factorization of 13763 in exponential form is:

13763 = 13763¹

Step-3: Factors of 13758

List of positive integer factors of 13758 that divides 13758 without a remainder.

1, 2, 3, 6, 2293, 4586, 6879

Step-4: Factors of 13763

List of positive integer factors of 13763 that divides 13758 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13758 and 13763. The biggest common factor number is the GCF number.
So the greatest common factor 13758 and 13763 is 1.

Also check out the Least Common Multiple of 13758 and 13763