What is the Greatest Common Factor of 14761 and 14775?

Greatest common factor (GCF) of 14761 and 14775 is 1.

GCF(14761,14775) = 1

We will now calculate the prime factors of 14761 and 14775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14761 and 14775.

How to find the GCF of 14761 and 14775?

We will first find the prime factorization of 14761 and 14775. After we will calculate the factors of 14761 and 14775 and find the biggest common factor number .

Step-1: Prime Factorization of 14761

Prime factors of 14761 are 29, 509. Prime factorization of 14761 in exponential form is:

14761 = 29¹ × 509¹

Step-2: Prime Factorization of 14775

Prime factors of 14775 are 3, 5, 197. Prime factorization of 14775 in exponential form is:

14775 = 3¹ × 5² × 197¹

Step-3: Factors of 14761

List of positive integer factors of 14761 that divides 14761 without a remainder.

1, 29, 509

Step-4: Factors of 14775

List of positive integer factors of 14775 that divides 14761 without a remainder.

1, 3, 5, 15, 25, 75, 197, 591, 985, 2955, 4925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14761 and 14775. The biggest common factor number is the GCF number.
So the greatest common factor 14761 and 14775 is 1.

Also check out the Least Common Multiple of 14761 and 14775