What is the Greatest Common Factor of 14734 and 14747?

Greatest common factor (GCF) of 14734 and 14747 is 1.

GCF(14734,14747) = 1

We will now calculate the prime factors of 14734 and 14747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14734 and 14747.

How to find the GCF of 14734 and 14747?

We will first find the prime factorization of 14734 and 14747. After we will calculate the factors of 14734 and 14747 and find the biggest common factor number .

Step-1: Prime Factorization of 14734

Prime factors of 14734 are 2, 53, 139. Prime factorization of 14734 in exponential form is:

14734 = 2¹ × 53¹ × 139¹

Step-2: Prime Factorization of 14747

Prime factors of 14747 are 14747. Prime factorization of 14747 in exponential form is:

14747 = 14747¹

Step-3: Factors of 14734

List of positive integer factors of 14734 that divides 14734 without a remainder.

1, 2, 53, 106, 139, 278, 7367

Step-4: Factors of 14747

List of positive integer factors of 14747 that divides 14734 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14734 and 14747. The biggest common factor number is the GCF number.
So the greatest common factor 14734 and 14747 is 1.

Also check out the Least Common Multiple of 14734 and 14747