What is the Greatest Common Factor of 14749 and 14753?

Greatest common factor (GCF) of 14749 and 14753 is 1.

GCF(14749,14753) = 1

We will now calculate the prime factors of 14749 and 14753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14749 and 14753.

How to find the GCF of 14749 and 14753?

We will first find the prime factorization of 14749 and 14753. After we will calculate the factors of 14749 and 14753 and find the biggest common factor number .

Step-1: Prime Factorization of 14749

Prime factors of 14749 are 7, 43. Prime factorization of 14749 in exponential form is:

14749 = 7³ × 43¹

Step-2: Prime Factorization of 14753

Prime factors of 14753 are 14753. Prime factorization of 14753 in exponential form is:

14753 = 14753¹

Step-3: Factors of 14749

List of positive integer factors of 14749 that divides 14749 without a remainder.

1, 7, 43, 49, 301, 343, 2107

Step-4: Factors of 14753

List of positive integer factors of 14753 that divides 14749 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14749 and 14753. The biggest common factor number is the GCF number.
So the greatest common factor 14749 and 14753 is 1.

Also check out the Least Common Multiple of 14749 and 14753