What is the Greatest Common Factor of 14749 and 14757?

Greatest common factor (GCF) of 14749 and 14757 is 1.

GCF(14749,14757) = 1

We will now calculate the prime factors of 14749 and 14757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14749 and 14757.

How to find the GCF of 14749 and 14757?

We will first find the prime factorization of 14749 and 14757. After we will calculate the factors of 14749 and 14757 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 14757

Prime factors of 14757 are 3, 4919. Prime factorization of 14757 in exponential form is:

14757 = 3¹ × 4919¹

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 14757

List of positive integer factors of 14757 that divides 14749 without a remainder.

1, 3, 4919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14749 and 14757. The biggest common factor number is the GCF number.
So the greatest common factor 14749 and 14757 is 1.

Also check out the Least Common Multiple of 14749 and 14757